Esther had a sum of money. She spent $464 on a windbreaker and 37 of the remainder on a blazer. She was left with 19 of the original sum of money.
- What was the total amount Esther spent?
- How much money did Esther have at first?
| Windbreaker |
Remaining amount |
| |
Blazer |
Left |
| $464 |
3 |
4 |
8x4 =
32 u |
1x4 =
4 u |
| 29 u |
3 u |
4 u |
(a)
Fraction of the remaining amount left
= 1 -
37=
47The amount left is repeated.
Make the numerators the same. LCM of 4 and 1 is 4.
47 Remaining amount =
19 Total amount
4x17x1 Remaining amount =
1x49x4 Total amount
47 Remaining amount =
436 Total amount
Amount that Esther spent on the windbreaker
= 32 u - 3 u
= 29 u
29 u = 464
1 u = 464 ÷ 29 = 16
Total amount that Esther spent
= 29 u + 3 u
= 32 u
= 32 x 16
= $512
(b)
Total amount that Esther had at first
= 36 u
= 36 x 16
= $576
Answer(s): (a) $512; (b) $576
