Ahmad owned two shops selling flowers. Shop P earned 30% more money than Shop Q on Thursday. On Friday, Shop P lost $96 while Shop Q earned another $365. In the end, Shop P contributed to 38 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)x5 = (3) |
Shop P
(1) |
Shop Q
(2) |
Make p the same
(2)x3 = (4) |
| Before |
65 u |
13 u |
10 u |
30 u |
| Change |
- 480 |
- 96 |
+ 365 |
+ 1095 |
| After |
15 p |
3 p |
5 p |
15 p |
Amount that Ahmad earned from Shop Q on Thursday in percentage = 100%
Amount that Ahmad earned from Shop P on Thursday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Ahmad earned from Shop Q
= 1 -
38 =
58(3) = (4)
65 u - 480 = 30 u + 1095
65 u - 30 u = 480 + 1095
35 u = 1575
1 u = 1575 ÷ 35 = 45
Amount that Ahmad earned from Shop P over the two days
= 13 u - 96
= 13 x 45 - 96
= 585 - 96
= $489
Answer(s): $489
