Marion bought 4 muffins more than macarons. Each muffin cost $0.90 while each macaron cost $1.40. Given that she spent $25.90 less on the muffins than on the macarons, how many muffins did Marion buy?
| |
Macarons |
Muffins |
Difference |
| Number |
1 u |
1 u + 4 |
|
| Value |
1.40 |
0.90 |
|
| Total value |
1.4 u |
0.9 u + 3.6 |
0.5 u - 3.6 |
Amount that Marion paid for the macarons
= 1 u x 1.4
= 1.4 u
Amount that Marion paid for the muffins
= 0.9 x (1 u + 4)
= 0.9 u + 3.6
Amount that Marion paid less on the muffins than the macarons
= 1.4 u - (0.9 u + 3.6)
= 1.4 u - 0.9 u - 3.6
= 0.5 u - 3.6
0.5 u - 3.6 = 25.90
0.5 u = 25.90 + 3.6
0.5 u = 29.5
1 u = 29.5 ÷ 0.5 = 59
Number of muffins that Marion bought
= 1 u + 4
= 59 + 4
= 63
Answer(s): 63
