Usha had a sum of money. She spent $184 on a vest and 47 of the remainder on a jacket. She was left with 110 of the original sum of money.
- What was the total amount Usha spent?
- How much money did Usha have at first?
| Vest |
Remaining amount |
| |
Jacket |
Left |
| $184 |
4 |
3 |
9x3 =
27 u |
1x3 =
3 u |
| 23 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 =
110 Total amount
3x17x1 Remaining amount =
1x310x3 Total amount
37 Remaining amount =
330 Total amount
Amount that Usha spent on the vest
= 27 u - 4 u
= 23 u
23 u = 184
1 u = 184 ÷ 23 = 8
Total amount that Usha spent
= 23 u + 4 u
= 27 u
= 27 x 8
= $216
(b)
Total amount that Usha had at first
= 30 u
= 30 x 8
= $240
Answer(s): (a) $216; (b) $240
