Liam bought some pastries. He bought some muffins with $8.60 more than half his money. He then bought some cupcakes with $4.70 less than half of his remaining money. He then had $9.80 left. How much did he pay for the muffins?
| Muffins |
Remaining amount |
| 1 u + $8.60 |
1 u - $8.60 |
| |
Cupcakes |
Left |
| |
1 p - $4.70 |
1 p + $4.70 |
| |
|
$9.80 |
Working backwards.
Amount that Liam had left = 1 p + 4.70
1 p + 4.70 = 9.80
1 p = 9.80 - 4.70 = 5.10
Remaining amount after he bought some muffins
= 2 p
= 2 x 5.10
= $10.20
Remaining amount after he bought some muffins = 1 u - 8.60
1 u - 8.60 = 10.20
1 u = 10.20 + 8.60
1 u = 18.80
Amount that Liam spent on some muffins
= 1 u + 8.60
= 18.80 + 8.60
= $27.40
Answer(s): $27.40
