word problem
Sean bought a bag of mixed candies. In the bag there were 25 Smarties and 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.
Smarties + Reese = 25 call this eq1
Reese = 25 - Smarties calll this eq2
Smarties = $0.15
Reese = $ 0.75
Total = $ 15.15
0.15 Smarties + 0.75 Reese = $ 15.15 call this eq3
substitute eq2 to eq3
0.15 Smarties + 0.75 (25 - Smaties) = $ 15.15
0.15 Smarties + 18.75 - 0.75Smaties) = $ 15.15
- 0.6 Smarties = $ 15.15 - 18.75
Smarties = - 3.6 / - 0.6
Smarties = 6 ◄ Ans
sbstitute Smarties in eq1
Smarties + Reese = 25 call this eq1
6 + Reese = 25
Reese = 25 - 6
Reese = 19 ◄ Ans