Ivory had a sum of money. She spent $270 on a blazer and 27 of the remainder on a vest. She was left with 15 of the original sum of money.
- What was the total amount Ivory spent?
- How much money did Ivory have at first?
Blazer |
Remaining amount |
|
Vest |
Left |
$270 |
2 |
5 |
4x5 = 20 u |
1x5 = 5 u |
18 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 =
15 Total amount
5x17x1 Remaining amount =
1x55x5 Total amount
57 Remaining amount =
525 Total amount
Amount that Ivory spent on the blazer
= 20 u - 2 u
= 18 u
18 u = 270
1 u = 270 ÷ 18 = 15
Total amount that Ivory spent
= 18 u + 2 u
= 20 u
= 20 x 15
= $300
(b)
Total amount that Ivory had at first
= 25 u
= 25 x 15
= $375
Answer(s): (a) $300; (b) $375