word problem

Question

Sean bought a bag of mixed candies. In the bag there were 25 Smarties an Reese's peanut Butter cups. Smarties cost $0.15 each an reese's are $0.75 each. If he paid $15.15 , how many Smarties an reese's did he buy?

A. write an expression for the number of smarties . write an expression for the number of Reese's.

B. write an algebraic equation using the expressions above.

 C. solve your equation (show all work)

D. tell how many smarties an reese's were bought.

please write : a,b,c,d after each answer

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Answer 1

We have 2 unknowns so we need 2 equations. Let s be the number of Smarties and r be the number of Reeses.

1) s + r = 25  or s = 25 - r

2) 15s + 75r = 1515

substitute eq(1) into eq(2):

15(25 - r) + 75r = 1515

375 - 15r + 75r = 1515

60r = 1140

r = 1140/60 = 19

using eq(1):

s = 25 - 19 = 6

check using eq(2):

15(6) + 75(19) = 1515

90 + 1425 = 1515

1515 = 1515

There are 6 Smarties and 19 Reeses in the bag.