Emma had a sum of money. She spent $115 on a dress and 27 of the remainder on a shirt. She was left with 16 of the original sum of money.
- What was the total amount Emma spent?
- How much money did Emma have at first?
| Dress |
Remaining amount |
| |
Shirt |
Left |
| $115 |
2 |
5 |
5x5 =
25 u |
1x5 =
5 u |
| 23 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 =
16 Total amount
5x17x1 Remaining amount =
1x56x5 Total amount
57 Remaining amount =
530 Total amount
Amount that Emma spent on the dress
= 25 u - 2 u
= 23 u
23 u = 115
1 u = 115 ÷ 23 = 5
Total amount that Emma spent
= 23 u + 2 u
= 25 u
= 25 x 5
= $125
(b)
Total amount that Emma had at first
= 30 u
= 30 x 5
= $150
Answer(s): (a) $125; (b) $150
