The owner of a health food store sells dried apples for 130...

The owner of a health-food store sells dried apples for $1.30 per quarter-pound, and dried apricots for $1.60 per quarter-pound. How many pounds of each must he mix together to get 30lb of a mixture that sells for $ 1.54 per quarter-pound? He must mix _ lb of apples and _ lb of apricots. (Type integers or fractions.)

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Transcript

00:01 Okay, so i have dried apples, which they said are $1 .30 per quarter of a pound.

00:15 I'm going to multiply by four to get that they are $5 .20 per pound.

00:23 And then i have apricots, which are $1 .60 per quarter of a pound.

00:36 And if i multiply that by four, i'm going to get that those are $6 .40 per pound.

00:47 I want them to have a combination.

00:50 So in the end, i want to have 30 pounds, and i want them to be $1 .54 per quarter pound, which means if i multiply by four, that's going to give me $6 .16 per pound.

01:13 So i'm going to set up a system of equations.

01:16 I'm going to let p be my apples.

01:21 I'm going to let c be my apricot.

01:24 So first i'm going to deal with our quantity equation.

01:30 So the weight of my apples plus my weight of my apricots is 30.

01:36 And then i have to deal with the money.

01:39 So apples were 520 per pound.

01:45 Apricots were 640 per pound.

01:49 And i want there to be $6 .16 for the total of 30 pounds.

01:56 So this is my system of equations that i'm going to use.

02:03 So let's simplify.

02:05 P plus c equals 30, my 520p plus my 640c equals when i multiply 616 times 30, i'm going to get 18480.