Howard owned two shops selling apparel. Shop P earned 25% more money than Shop Q on Friday. On Saturday, Shop P lost $110 while Shop Q earned another $374. In the end, Shop P contributed to 512 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)x7 = (3) |
P
(1) |
Q
(2) |
Make p the same
(2)x5 = (4) |
| Before |
35 u |
5 u |
4 u |
20 u |
| Change |
- 770 |
- 110 |
+ 374 |
+ 1870 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Howard earned from Shop Q on Friday in percentage = 100%
Amount that Howard earned from Shop P on Friday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Howard earned from Shop Q
= 1 -
512 =
712(3) = (4)
35 u - 770 = 20 u + 1870
35 u - 20 u = 770 + 1870
15 u = 2640
1 u = 2640 ÷ 15 = 176
Amount that Howard earned from Shop P over the two days
= 5 u - 110
= 5 x 176 - 110
= 880 - 110
= $770
Answer(s): $770
