Gabby bought 6 puffs more than biscuits. Each puff cost $0.70 while each biscuit cost $1.60. Given that she spent $27.30 less on the puffs than on the biscuits, how many puffs did Gabby buy?
| |
Biscuits |
Puffs |
Difference |
| Number |
1 u |
1 u + 6 |
|
| Value |
1.60 |
0.70 |
|
| Total value |
1.6 u |
0.7 u + 4.2 |
0.9 u - 4.2 |
Amount that Gabby paid for the biscuits
= 1 u x 1.6
= 1.6 u
Amount that Gabby paid for the puffs
= 0.7 x (1 u + 6)
= 0.7 u + 4.2
Amount that Gabby paid less on the puffs than the biscuits
= 1.6 u - (0.7 u + 4.2)
= 1.6 u - 0.7 u - 4.2
= 0.9 u - 4.2
0.9 u - 4.2 = 27.30
0.9 u = 27.30 + 4.2
0.9 u = 31.5
1 u = 31.5 ÷ 0.9 = 35
Number of puffs that Gabby bought
= 1 u + 6
= 35 + 6
= 41
Answer(s): 41
