Esther had a sum of money. She spent $132 on a jacket and 27 of the remainder on a skirt. She was left with 18 of the original sum of money.
- What was the total amount Esther spent?
- How much money did Esther have at first?
| Jacket |
Remaining amount |
| |
Skirt |
Left |
| $132 |
2 |
5 |
7x5 =
35 u |
1x5 =
5 u |
| 33 u |
2 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
27=
57The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
57 Remaining amount =
18 Total amount
5x17x1 Remaining amount =
1x58x5 Total amount
57 Remaining amount =
540 Total amount
Amount that Esther spent on the jacket
= 35 u - 2 u
= 33 u
33 u = 132
1 u = 132 ÷ 33 = 4
Total amount that Esther spent
= 33 u + 2 u
= 35 u
= 35 x 4
= $140
(b)
Total amount that Esther had at first
= 40 u
= 40 x 4
= $160
Answer(s): (a) $140; (b) $160
