Carl owned two shops selling souvenirs. Shop P earned 50% more money than Shop Q on Monday. On Tuesday, Shop P lost $344 while Shop Q earned another $279. In the end, Shop P contributed to 25 of the total earnings of the two shops over the two days operation. How much did Shop P earn over the two days?
| |
Make p the same
(1)x3 = (3) |
P
(1) |
Q
(2) |
Make p the same
(2)x2 = (4) |
| Before |
9 u |
3 u |
2 u |
4 u |
| Change |
- 1032 |
- 344 |
+ 279 |
+ 558 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Carl earned from Shop Q on Monday in percentage = 100%
Amount that Carl earned from Shop P on Monday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Carl earned from Shop Q
= 1 -
25 =
35(3) = (4)
9 u - 1032 = 4 u + 558
9 u - 4 u = 1032 + 558
5 u = 1590
1 u = 1590 ÷ 5 = 318
Amount that Carl earned from Shop P over the two days
= 3 u - 344
= 3 x 318 - 344
= 954 - 344
= $610
Answer(s): $610
