Question

Autumn is making a fruit salad. Peaches cost 0.75 each and blueberries cost $1.50 a package. Autumn spends 11.25 dollars and buys 10 items. How many peaches and blueberries packages were bought

Answer 1

Peaches: 5 packages
Blueberries: 5 packages

We’ll have p = number of packages of peaches, b = number of packages of blueberries.

We know:
p + b = 10
And we know:
p(0.75) + b(1.50) = 11.25, which is also:
0.75p + 1.5b = 11.25

First we’ll solve p in terms of b:
p = 10-b

Then we’ll substitute that expression into the other equation to get a numerical value for b.

0.75(10 - b) + 1.5b = 11.25
7.5 - 0.75b + 1.5b = 11.25
0.75b = 3.75
b = 5

Then we substitute that in to solve for a numerical value for p
p + b = 10
p + 5 = 10
p = 5

Check the math:
0.75p + 1.5b = 11.25
0.75(5) + 1.5(5) = 3.75 + 7.5 = 11.25

Let me know if you have any questions.

Answer 2

5 peaces and 5 blueberry packages 0.75*5=3.75. 1.50*5=7.5. 3.75+7.5=11.25