Emma had a sum of money. She spent $133 on a coat and 38 of the remainder on a jacket. She was left with 13 of the original sum of money.
- What was the total amount Emma spent?
- How much money did Emma have at first?
| Coat |
Remaining amount |
| |
Jacket |
Left |
| $133 |
3 |
5 |
2x5 =
10 u |
1x5 =
5 u |
| 7 u |
3 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
38=
58The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
58 Remaining amount =
13 Total amount
5x18x1 Remaining amount =
1x53x5 Total amount
58 Remaining amount =
515 Total amount
Amount that Emma spent on the coat
= 10 u - 3 u
= 7 u
7 u = 133
1 u = 133 ÷ 7 = 19
Total amount that Emma spent
= 7 u + 3 u
= 10 u
= 10 x 19
= $190
(b)
Total amount that Emma had at first
= 15 u
= 15 x 19
= $285
Answer(s): (a) $190; (b) $285
