Jane bought 5 muffins more than puffs. Each muffin cost $0.50 while each puff cost $1.70. Given that she spent $25.10 less on the muffins than on the puffs, how many muffins did Jane buy?
| |
Puffs |
Muffins |
Difference |
| Number |
1 u |
1 u + 5 |
|
| Value |
1.70 |
0.50 |
|
| Total value |
1.7 u |
0.5 u + 2.5 |
1.2 u - 2.5 |
Amount that Jane paid for the puffs
= 1 u x 1.7
= 1.7 u
Amount that Jane paid for the muffins
= 0.5 x (1 u + 5)
= 0.5 u + 2.5
Amount that Jane paid less on the muffins than the puffs
= 1.7 u - (0.5 u + 2.5)
= 1.7 u - 0.5 u - 2.5
= 1.2 u - 2.5
1.2 u - 2.5 = 25.10
1.2 u = 25.10 + 2.5
1.2 u = 27.6
1 u = 27.6 ÷ 1.2 = 23
Number of muffins that Jane bought
= 1 u + 5
= 23 + 5
= 28
Answer(s): 28
