Diana bought 8 wafers more than macarons. Each wafer cost $0.70 while each macaron cost $1.70. Given that she spent $29.40 less on the wafers than on the macarons, how many wafers did Diana buy?
| |
Macarons |
Wafers |
Difference |
| Number |
1 u |
1 u + 8 |
|
| Value |
1.70 |
0.70 |
|
| Total value |
1.7 u |
0.7 u + 5.6 |
1 u - 5.6 |
Amount that Diana paid for the macarons
= 1 u x 1.7
= 1.7 u
Amount that Diana paid for the wafers
= 0.7 x (1 u + 8)
= 0.7 u + 5.6
Amount that Diana paid less on the wafers than the macarons
= 1.7 u - (0.7 u + 5.6)
= 1.7 u - 0.7 u - 5.6
= 1 u - 5.6
1 u - 5.6 = 29.40
1 u = 29.40 + 5.6
1 u = 35
1 u = 35 ÷ 1 = 35
Number of wafers that Diana bought
= 1 u + 8
= 35 + 8
= 43
Answer(s): 43
