Pamela bought 7 muffins more than shortbreads. Each muffin cost $0.80 while each shortbread cost $1.90. Given that she spent $25.20 less on the muffins than on the shortbreads, how many muffins did Pamela buy?
| |
Shortbreads |
Muffins |
Difference |
| Number |
1 u |
1 u + 7 |
|
| Value |
1.90 |
0.80 |
|
| Total value |
1.9 u |
0.8 u + 5.6 |
1.1 u - 5.6 |
Amount that Pamela paid for the shortbreads
= 1 u x 1.9
= 1.9 u
Amount that Pamela paid for the muffins
= 0.8 x (1 u + 7)
= 0.8 u + 5.6
Amount that Pamela paid less on the muffins than the shortbreads
= 1.9 u - (0.8 u + 5.6)
= 1.9 u - 0.8 u - 5.6
= 1.1 u - 5.6
1.1 u - 5.6 = 25.20
1.1 u = 25.20 + 5.6
1.1 u = 30.8
1 u = 30.8 ÷ 1.1 = 28
Number of muffins that Pamela bought
= 1 u + 7
= 28 + 7
= 35
Answer(s): 35
