Xandra had a sum of money. She spent $100 on a dress and 37 of the remainder on a windbreaker. She was left with 18 of the original sum of money.
- What was the total amount Xandra spent?
- How much money did Xandra have at first?
Dress |
Remaining amount |
|
Windbreaker |
Left |
$100 |
3 |
4 |
7x4 = 28 u |
1x4 = 4 u |
25 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 =
18 Total amount
4x17x1 Remaining amount =
1x48x4 Total amount
47 Remaining amount =
432 Total amount
Amount that Xandra spent on the dress
= 28 u - 3 u
= 25 u
25 u = 100
1 u = 100 ÷ 25 = 4
Total amount that Xandra spent
= 25 u + 3 u
= 28 u
= 28 x 4
= $112
(b)
Total amount that Xandra had at first
= 32 u
= 32 x 4
= $128
Answer(s): (a) $112; (b) $128