Cindy had a sum of money. She spent $70 on a vest and 47 of the remainder on a skirt. She was left with 14 of the original sum of money.
- What was the total amount Cindy spent?
- How much money did Cindy have at first?
Vest |
Remaining amount |
|
Skirt |
Left |
$70 |
4 |
3 |
3x3 = 9 u |
1x3 = 3 u |
5 u |
4 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
47=
37The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
37 Remaining amount =
14 Total amount
3x17x1 Remaining amount =
1x34x3 Total amount
37 Remaining amount =
312 Total amount
Amount that Cindy spent on the vest
= 9 u - 4 u
= 5 u
5 u = 70
1 u = 70 ÷ 5 = 14
Total amount that Cindy spent
= 5 u + 4 u
= 9 u
= 9 x 14
= $126
(b)
Total amount that Cindy had at first
= 12 u
= 12 x 14
= $168
Answer(s): (a) $126; (b) $168