Luke bought some pastries. He bought some muffins with $8.50 more than half his money. He then bought some cookies with $6.30 less than half of his remaining money. He then had $8.70 left. How much did he pay for the muffins?
| Muffins |
Remaining amount |
| 1 u + $8.50 |
1 u - $8.50 |
| |
Cookies |
Left |
| |
1 p - $6.30 |
1 p + $6.30 |
| |
|
$8.70 |
Working backwards.
Amount that Luke had left = 1 p + 6.30
1 p + 6.30 = 8.70
1 p = 8.70 - 6.30 = 2.40
Remaining amount after he bought some muffins
= 2 p
= 2 x 2.40
= $4.80
Remaining amount after he bought some muffins = 1 u - 8.50
1 u - 8.50 = 4.80
1 u = 4.80 + 8.50
1 u = 13.30
Amount that Luke spent on some muffins
= 1 u + 8.50
= 13.30 + 8.50
= $21.80
Answer(s): $21.80
