Kathy had a sum of money. She spent $234 on a vest and 27 of the remainder on a jacket. She was left with 14 of the original sum of money.
- What was the total amount Kathy spent?
- How much money did Kathy have at first?
Vest |
Remaining amount |
|
Jacket |
Left |
$234 |
2 |
5 |
3x5 = 15 u |
1x5 = 5 u |
13 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 =
14 Total amount
5x17x1 Remaining amount =
1x54x5 Total amount
57 Remaining amount =
520 Total amount
Amount that Kathy spent on the vest
= 15 u - 2 u
= 13 u
13 u = 234
1 u = 234 ÷ 13 = 18
Total amount that Kathy spent
= 13 u + 2 u
= 15 u
= 15 x 18
= $270
(b)
Total amount that Kathy had at first
= 20 u
= 20 x 18
= $360
Answer(s): (a) $270; (b) $360