Jean had a sum of money. She spent $221 on a coat and 47 of the remainder on a vest. She was left with 18 of the original sum of money.
- What was the total amount Jean spent?
- How much money did Jean have at first?
| Coat |
Remaining amount |
| |
Vest |
Left |
| $221 |
4 |
3 |
7x3 =
21 u |
1x3 =
3 u |
| 17 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 =
18 Total amount
3x17x1 Remaining amount =
1x38x3 Total amount
37 Remaining amount =
324 Total amount
Amount that Jean spent on the coat
= 21 u - 4 u
= 17 u
17 u = 221
1 u = 221 ÷ 17 = 13
Total amount that Jean spent
= 17 u + 4 u
= 21 u
= 21 x 13
= $273
(b)
Total amount that Jean had at first
= 24 u
= 24 x 13
= $312
Answer(s): (a) $273; (b) $312
