Problem

Dry mixture problems. Lemon drops worth 3.80 doll…

06:21

Problem 51 Hard Difficulty

Dry mixture problems.
How many 10 -ounce bags of Romaine lettuce
must be mixed with fifty 10 -ounce bags of Iceberg lettuce to
obtain a blend that sells for 2.50 dollar per ten-ounce bag?

Answer

15

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Elementary and Intermediate Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 6

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Video Transcript

problem, 51 reads. How many 10 ounce bags of romaine lettuce must be mixed with 50 10 ounce bags of iceberg lettuce to obtain a blend that sells for $2.50 per 10 ounce bag? So we know that the romaine lettuce sells for $3.50 per bag, and that the iceberg lettuce sells for 2 20 per bag in the mix sells for $2.50 per bag. We know that there's 50 bags of iceberg lettuce and we don't know how many bags romaine lettuce. There are someone put extra present that so that the amount of mixed lettuce would be 50 plus X or expose 50. To find the total value, we're gonna multiply the amount by the price. So for the romaine lettuce, it's gonna be 3 50 x for the iceberg lettuce. It's gonna be 50 times $2.20 and that's 110 for the mix. It's going to be 2 50 times 50 plus X, and then we're gonna write an equation that add together the total value of the romaine lettuce and the iceberg lettuce to equal the total value of the mixed lettuce. So our equations gonna be 3 50 x plus 110 is equal to 2 50 times 50 plus x. So from here, I'm gonna distribute the 2 50 to the 50 as well as to the ex. So I have 3 50 x plus 1 10 is equal to 2 50 times 50 is 125 and then to 50 times access to 50 x. So from here, we want to get the like terms on the same side. So I'm gonna start by subtracting 110 on each side 100. And Sandman is Sandra Antenna zero. So we're left with 3 50 x is equal to 1 25 minus 1 10 is 15 plus the 2 50 x And then from here, we want to get the 2 50 x to the other side. So we're going to subtract both sides by 2 50 eggs. So 3 50 x minus 2 50 X is $1. So that's just one X is equal to 15 and 2 50 x minus 2 50 x zero. So that crosses out. So we have one acts or X is equal to 15 bags. So that's a solution to the problem that we're gonna need 15 bags of romaine lettuce to be mixed with the 50 bags of iceberg lettuce to create a mixed bag of lettuce that consult for $2.50 each bag.

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