Question

In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the candy and the mints?

If m = price of mints and c = price of candy, then which of the following expressions is equal to 5.35?


3m
1 + 3m
c + 3m


i got C

Answer 1

C is correct

Answer 2

3c + 2m = 10.80
c + 3m = 5.35 -->(-3)
----------------
3c + 2m = 10.80
-3c - 9m = - 16.05 (result of multiplying by -3)
----------------add
-7m = - 5.25
m = -5.25/-7
m = 0.75

now sub 0.75 in for m
3c + 2m = 10.80
3c + 2(0.75) = 10.80
3c + 1.50 = 10.80
3c = 10.80 - 1.50
3c = 9.30
c = 9.30/3
c = 3.10

oops...I did a little too much....
answer is C.

and by the way, mints cost 0.75 per lb and candy costs 3.10 per lb.