Lynn had a sum of money. She spent $50 on a shirt and 58 of the remainder on a windbreaker. She was left with 16 of the original sum of money.
- What was the total amount Lynn spent?
- How much money did Lynn have at first?
| Shirt |
Remaining amount |
| |
Windbreaker |
Left |
| $50 |
5 |
3 |
5x3 =
15 u |
1x3 =
3 u |
| 10 u |
5 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
58=
38The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
38 Remaining amount =
16 Total amount
3x18x1 Remaining amount =
1x36x3 Total amount
38 Remaining amount =
318 Total amount
Amount that Lynn spent on the shirt
= 15 u - 5 u
= 10 u
10 u = 50
1 u = 50 ÷ 10 = 5
Total amount that Lynn spent
= 10 u + 5 u
= 15 u
= 15 x 5
= $75
(b)
Total amount that Lynn had at first
= 18 u
= 18 x 5
= $90
Answer(s): (a) $75; (b) $90
