Fiona bought 8 puffs more than macarons. Each puff cost $0.80 while each macaron cost $1.50. Given that she spent $29.30 less on the puffs than on the macarons, how many puffs did Fiona buy?
| |
Macarons |
Puffs |
Difference |
| Number |
1 u |
1 u + 8 |
|
| Value |
1.50 |
0.80 |
|
| Total value |
1.5 u |
0.8 u + 6.4 |
0.7 u - 6.4 |
Amount that Fiona paid for the macarons
= 1 u x 1.5
= 1.5 u
Amount that Fiona paid for the puffs
= 0.8 x (1 u + 8)
= 0.8 u + 6.4
Amount that Fiona paid less on the puffs than the macarons
= 1.5 u - (0.8 u + 6.4)
= 1.5 u - 0.8 u - 6.4
= 0.7 u - 6.4
0.7 u - 6.4 = 29.30
0.7 u = 29.30 + 6.4
0.7 u = 35.7
1 u = 35.7 ÷ 0.7 = 51
Number of puffs that Fiona bought
= 1 u + 8
= 51 + 8
= 59
Answer(s): 59
