Olivia bought 7 puffs more than scones. Each puff cost $0.90 while each scone cost $1.70. Given that she spent $27.30 less on the puffs than on the scones, how many puffs did Olivia buy?
| |
Scones |
Puffs |
Difference |
| Number |
1 u |
1 u + 7 |
|
| Value |
1.70 |
0.90 |
|
| Total value |
1.7 u |
0.9 u + 6.3 |
0.8 u - 6.3 |
Amount that Olivia paid for the scones
= 1 u x 1.7
= 1.7 u
Amount that Olivia paid for the puffs
= 0.9 x (1 u + 7)
= 0.9 u + 6.3
Amount that Olivia paid less on the puffs than the scones
= 1.7 u - (0.9 u + 6.3)
= 1.7 u - 0.9 u - 6.3
= 0.8 u - 6.3
0.8 u - 6.3 = 27.30
0.8 u = 27.30 + 6.3
0.8 u = 33.6
1 u = 33.6 ÷ 0.8 = 42
Number of puffs that Olivia bought
= 1 u + 7
= 42 + 7
= 49
Answer(s): 49
