45 of Emily's money was equal to
14 of Opal's money at first. After Emily spent $27 and Opal spent
25 of her money, Emily had
13 as much money as Opal.
- How much money did Opal have at first?
- How much money did Opal have in the end?
| |
Emily |
Opal |
Comparing Emily
and Opal at first |
5x5 =
25 u |
16x5 =
80 u |
| Before |
|
5x16 =
80 u |
| Change |
- $27 |
- 2x16 =
- 32 u |
| After |
|
3x16 =
48 u |
Comparing Emily
and Opal in the end |
1x16 =
16 u |
3x16 =
48 u |
45 Emily's money =
14 Opal's money
Make numerators the same.
45 Emily's money =
1x44x4 Opal's money
45 Emily's money =
416 Opal's money
Emily's money : Opal's money = 5 : 16
The amount that Opal had at first is repeated. Make the amount that Opal had at first the same. LCM of 16 and 5 is 80.
Amount that Emily spent
= 25 u - 16 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
(a)
Amount that Opal had at first
= 80 u
= 80 x 3
= $240
(b)
Amount that Opal had in the end
= 48 u
= 48 x 3
= $144
Answer(s): (a) $240; (b) $144
