Irene had a sum of money. She spent $55 on a vest and 710 of the remainder on a shirt. She was left with 17 of the original sum of money.
- What was the total amount Irene spent?
- How much money did Irene have at first?
| Vest |
Remaining amount |
| |
Shirt |
Left |
| $55 |
7 |
3 |
6x3 =
18 u |
1x3 =
3 u |
| 11 u |
7 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
710=
310The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
310 Remaining amount =
17 Total amount
3x110x1 Remaining amount =
1x37x3 Total amount
310 Remaining amount =
321 Total amount
Amount that Irene spent on the vest
= 18 u - 7 u
= 11 u
11 u = 55
1 u = 55 ÷ 11 = 5
Total amount that Irene spent
= 11 u + 7 u
= 18 u
= 18 x 5
= $90
(b)
Total amount that Irene had at first
= 21 u
= 21 x 5
= $105
Answer(s): (a) $90; (b) $105
