Peanut wafers cost $4 a box and chocolate crisps cost $6 a box. Together the club sells 525 boxes of cookies and collects $2876. How many of each type of cookie did the club sell?

Question

solve using elimination

Answer 1

The key for a student is knowing that the problem asked for elimination instead of substitution.

p = 1 box of peanut wafers; price is $4/box

c = 1 box of chocolate crisps; price is 6$/box

525 boxes, so

p + c = 525

$2876, so

4p + 6c = 2876

Our 2 equations are:

4p + 6c = 2876

1p + 1c = 525; multiply this by -4 so that we can eliminate

-4p + -4c = -2100

4p + 6c = 2876

Add

2c = 776

c = 388

As p + c = 525,

p = 525 - c

p = 525 - 388

p = 137