Question

A bakery sold apple pies for $11 and blueberry pies for $13. one saturday they sold a total of 38 pies and collected a total of $460. how many apple pies did they sell and how many blueberry pies did they sell? select one:
a. 4 apple pies and 32 blueberry pies
b. 17 apple pies and 21 blueberry pies
c. 19 apple pies and 19 blueberry pies
d. 21 apple pies and 17 blueberry pies

Answer 1

So first you know that if a is apple pies and b is blueberry that
$460=11a+13b in terms of price and you also know that the number
a+b=38
I solved that for either a or b (I chose a)
So
A=38-b
Them I plugged it in to the money equation to solve for b
460=11(38-b)+13b
460=418-11b+13b
460=418+2b
42=2b
B=21
Therefore you can do 38(total pies)-21(what b equals) to find the apple pies which would be 17 so a=17
Therefore the answer is B (17 apple and 21 blueberry)

Answer 2

The awsner would be a since if we do the math 4×11=44 and 32×13=416 416+44=460 a forumla for this could be
$x \times 11 + x \times 13 = y$