Jen had
57 as much money as Hazel. Jen received another $40 from her aunt and Hazel received $2 from her mother. In the end, Jen had $8 more than Hazel. How much did the girls have altogether in the end?
| |
Jen |
Hazel |
| Before |
5 u |
7 u |
| Change |
+ 40 |
+ 2 |
| After |
5 u + 40 |
7 u + 2 |
If Hazel received another $8 in the end, she would have the same amount of money as Jen.
7 u + 2 + 8 = 5 u + 40
7 u + 10 = 5 u + 40
7 u - 5 u = 40 - 10
2 u = 30
1 u = 30 ÷ 2 = 15
Amount that the girls had in the end
= 5 u + 40 + 7 u + 2
= 5 u + 7 u + 40 + 2
= 12 u + 42
= 12 x 15 + 42
= $222
Answer(s): $222
