Nora had five times as much money as Penelope. After Nora spent $13 and Penelope spent $9, Nora had $28 more than Penelope. How much did Nora have in the end?
| |
Nora |
Penelope |
| Before |
5 u |
1 u |
| Change |
- $13 |
- $9 |
| After |
5 u - $13 |
1 u - $9 |
Comparing Nora
and Penelope
in the end |
$28 more |
|
If Penelope was given another $28, the amounts that Nora and Penelope each had in the end would be the same.
5 u - 13 = 1 u - 9 + 28
5 u - 1 u = 13 + 19
4 u = 32
1 u = 32 ÷ 4 = 8
Amount that Nora had in the end
= 5 u - 13
= 5 x 8 - 13
= 40 - 13
= $27
Answer(s): $27
