Opal had a sum of money. She spent $144 on a sweater and 710 of the remainder on a jumpsuit. She was left with 16 of the original sum of money.
- What was the total amount Opal spent?
- How much money did Opal have at first?
| Sweater |
Remaining amount |
| |
Jumpsuit |
Left |
| $144 |
7 |
3 |
5x3 =
15 u |
1x3 =
3 u |
| 8 u |
7 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
710=
310The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
310 Remaining amount =
16 Total amount
3x110x1 Remaining amount =
1x36x3 Total amount
310 Remaining amount =
318 Total amount
Amount that Opal spent on the sweater
= 15 u - 7 u
= 8 u
8 u = 144
1 u = 144 ÷ 8 = 18
Total amount that Opal spent
= 8 u + 7 u
= 15 u
= 15 x 18
= $270
(b)
Total amount that Opal had at first
= 18 u
= 18 x 18
= $324
Answer(s): (a) $270; (b) $324
