the-directions-on-a-bottle-of-cleaning-solution-suggest-that-the-solution-be-diluted-with-water-the-

Name: the directions on a bottle of cleaning solution suggest that the solution be diluted with water the
Uploaded: 2019-08-17
Duration: 1 min 17 s
Channel: Numerade
Description: The directions on a bottle of cleaning solution suggest that the solution be diluted with water. The ratio of solution to water is 1 : 7. How many cups of solution and how many cups of water should Christopher use to make 2 gallons (32 cups) of the mixture?

Question

The directions on a bottle of cleaning solution suggest that the solution be diluted with water. The ratio of solution to water is 1 : 7. How many cups of solution and how many cups of water should Christopher use to make 2 gallons (32 cups) of the mixture?

Georgiann Andersen · Accepted Answer

Okay, This this question number 26. We need to figure out how many cups of cleaning solution and how many cups of water Christopher is gonna need to make a total of 32 cups of solution. You&#x27;re telling me that the cleaning solution, the water, the ratio it&#x27;s going to be one cup to seven cuts, so we can take one X plus seven X equals 32. That&#x27;s eight x Most 32 divided by eight exist in equal to four cleaning solution. We&#x27;re gonna need four cups and the water will be seven times four, which is 28 cuts.

Pammi Eswari · Answer

to get the number of cups off orange juice. We divide total juice by one cup off juice. Here, total juice is three by two. Gatland&#x27;s divided by one cup off juice is one by 16. Galan&#x27;s now multiply three by two by the reciprocal off the device or hear divisor is one by 16. So reciprocal after one by 16 is 16 by one 16 on two share. A common factor off 16 is divided by two equals eight, and who is doing it? But two equals one. Now simplify the enumerators on denominator. US three into eight is 24 so 24 cups off juice can be filled.

Ren Jie Tuieng · Answer

right. So this question is question on approximation, so we don&#x27;t have to be dead accurate about it. But you have to be realistic. So above stuff. Ah, realistic bathtub would hold approximately about 100 litres off water that we expect, maybe plus minus a few, but the magnitude off, maybe two small 100 meters. And for a cup off water, we&#x27;ll expect maybe a cup off water to be a boat, maybe 100 Bill Unita&#x27;s. That is quite reasonable to see 100 minutes of one meter might be a bit off a stretch, so I would say about 100 milliliters and convert it into a common unit. 100 millimeters is about your 1000.1 details. So put cup. We have this amount in this volume off a buffed up. So now we want to find how many cups off water so we can&#x27;t just simply defied for you. What a buff. Divided by that volume off each come and he gets a lot of magnitude about to the boat she cups

Ernest Castorena · Answer

So this time they ask How many 3/4 gallon bottles can be filled from a bucket that holds 7.5 gallons of water? Well, that&#x27;s 15/2. How many wall, etc? See, this is gallons per bottle, and we have that many gallons and we want to buy a bottle. We&#x27;ll have 15/2 Scallon over three over for it, gallons per bottle. We can multiply by the reciprocal of the devices for over three gallons bottle. Let&#x27;s see guns. Accounts allow this factor of three. We&#x27;re going to three there to leave a fire. That&#x27;s do you believe? Two up top and I&#x27;ll be left with 10 bottles. Awesome.

Amy Jiang · Answer

Okay, so we have three drops of pure essence. So it&#x27;s called at three p e. 27 drops of alcohol and we&#x27;ll call it a now if we have 56 drops of alcohol, How much drops of pure essence? What we have. So it&#x27;s solve for X. So we multiply both sides by 56 to isolate our X. So we get X is equal to 56 times three, divided by seven. So that is we have 24 drops of pure essence.

Alanya Huang · Answer

problem. 39 reads. How many gallons of a 3% salt solution must be mixed with 50 gallons of a 7% solution to obtain a 5% solution on this is a liquid mixture problem. So I know that we&#x27;re gonna have to use the equation. Amount time strength is equal to amount of salt in this case. So we know that we have 50 leaders of the stronger solution, which has a 7% amount of salt so as a decimal, that 0.7 and we don&#x27;t know what amount of the weaker solution we have, but we know that that solution is 3% salts, so as a decimal, that 0.3 And we know that the mixture has thio be a combination of the amounts of the weaker and the stronger solution. So we have 50 plus X is the amount of the mixture and then the mixture has of 5% salt, so as a decimal, that 0.5 So to figure out the amount of salt in each solution, we&#x27;re gonna have to multiply the amount times of strength. So for the weak solution, that zero point 03 x for the stronger solution 50 times 0.7 is 3.5. And then for the mixture, we have to do 0.5 times 50 plus x. So now we&#x27;re gonna have to combine the amount of salt for the weaker and the stronger solution and make it equal to the mixture amount of salt. So our equation that we&#x27;re gonna make is their 0.3 x plus 3.5 is equal to 0.5 times 50 plus X. And to get rid of the decimals, we&#x27;re gonna multiply both sides of the equation by 100. So then we&#x27;re gonna have to distribute the 100 to these their points or three X as well as the 100 to the 3.5. So 100 times their 1000.3 X is three X and then 100 plus 3.5 is 350 and then we have 0.5 times 100 which is five. And then we&#x27;re gonna multiply the five with 50 plus X and then we have three x plus. 350 is equal to five times 50 which is 250 plus. We have to multiply five times X, which is five X. So from here, we have to get the like terms on the same side. So I&#x27;m going to subtract three X on each side. So three X minus three X zero somewhere left with 350 is equal to 250. Then we have five X minus three X, which is two X So we have 250 plus two X. Then we&#x27;re gonna subtracted the 250 on each side. 2 50 minus 2 50 0 And then we have 3 50 minus 2 50 which is 100. So now we have 100 is equal to two X. We want to isolate the X. We want to get the ex alone, so we&#x27;re gonna divide both sides by two. Ah 100 divided by two is 50 and then two divided by two is one. So we&#x27;re left with X, so X is equal to 50. And the unit in this problem is actually gallons earlier, I said leaders, but it&#x27;s actually gallons. So that is our solution. 50 gallons is how much we need of the 3% salt solution.

Problem 26 Medium Difficulty

The directions on a bottle of cleaning solution suggest that the solution be diluted with water. The ratio of solution to water is 1 : 7. How many cups of solution and how many cups of water should Christopher use to make 2 gallons (32 cups) of the mixture?

Answer

4 cups of solution and 28 cups of water

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4 cups of solution and 28 cups of water

Algebra 2 and Trigonometry

Grace H.

Heather Z.

Kristen K.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Grace H.

Heather Z.

Kristen K.

Michael J.

Ann Xavier Gantert

Algebra 2 and Trigonometry