Ivory had a sum of money. She spent $88 on a jumpsuit and 710 of the remainder on a vest. She was left with 16 of the original sum of money.
- What was the total amount Ivory spent?
- How much money did Ivory have at first?
Jumpsuit |
Remaining amount |
|
Vest |
Left |
$88 |
7 |
3 |
5x3 = 15 u |
1x3 = 3 u |
8 u |
7 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
710=
310The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
310 Remaining amount =
16 Total amount
3x110x1 Remaining amount =
1x36x3 Total amount
310 Remaining amount =
318 Total amount
Amount that Ivory spent on the jumpsuit
= 15 u - 7 u
= 8 u
8 u = 88
1 u = 88 ÷ 8 = 11
Total amount that Ivory spent
= 8 u + 7 u
= 15 u
= 15 x 11
= $165
(b)
Total amount that Ivory had at first
= 18 u
= 18 x 11
= $198
Answer(s): (a) $165; (b) $198