Jade had a sum of money. She spent $204 on a shirt and 38 of the remainder on a blazer. She was left with 15 of the original sum of money.
- What was the total amount Jade spent?
- How much money did Jade have at first?
Shirt |
Remaining amount |
|
Blazer |
Left |
$204 |
3 |
5 |
4x5 = 20 u |
1x5 = 5 u |
17 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 =
15 Total amount
5x18x1 Remaining amount =
1x55x5 Total amount
58 Remaining amount =
525 Total amount
Amount that Jade spent on the shirt
= 20 u - 3 u
= 17 u
17 u = 204
1 u = 204 ÷ 17 = 12
Total amount that Jade spent
= 17 u + 3 u
= 20 u
= 20 x 12
= $240
(b)
Total amount that Jade had at first
= 25 u
= 25 x 12
= $300
Answer(s): (a) $240; (b) $300