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
S = 25 - R R = 25 - S (a) These don't get us anywhere
S + R = 25
and
0.15S + 0.75R = 15.15 (b) One equation won't do
3 * (S + R) = 3 * 25 3S + 3R = 75 to equalize the R terms
4 * (0.15S + 0.75R) = 4 * 15.15
0.6S + 3R = 60.60
We have two equations we can subtract, leaving only the S term
3S + 3R = 75
-(0.6S + 3R = 60.60)
-----------------------------
2.4S = 14.40
2.4S = 14.40
S = 6
R = 25 - S = 25 - 6 = 19 (c)
There were 6 Smarties and 19 Reese's (d)
6 * 0.15 + 19 * 0.75 = 0.90 + 14.25 = 15.15