Esther had a sum of money. She spent $247 on a dress and 58 of the remainder on a coat. She was left with 17 of the original sum of money.
- What was the total amount Esther spent?
- How much money did Esther have at first?
| Dress |
Remaining amount |
| |
Coat |
Left |
| $247 |
5 |
3 |
6x3 =
18 u |
1x3 =
3 u |
| 13 u |
5 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
58=
38The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
38 Remaining amount =
17 Total amount
3x18x1 Remaining amount =
1x37x3 Total amount
38 Remaining amount =
321 Total amount
Amount that Esther spent on the dress
= 18 u - 5 u
= 13 u
13 u = 247
1 u = 247 ÷ 13 = 19
Total amount that Esther spent
= 13 u + 5 u
= 18 u
= 18 x 19
= $342
(b)
Total amount that Esther had at first
= 21 u
= 21 x 19
= $399
Answer(s): (a) $342; (b) $399
