Owen owned two shops selling eyewear. Shop P earned 25% more money than Shop Q on Thursday. On Friday, Shop P lost $212 while Shop Q earned another $228. In the end, Shop P contributed to 311 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)x8 = (3) |
P
(1) |
Q
(2) |
Make p the same
(2)x3 = (4) |
| Before |
40 u |
5 u |
4 u |
12 u |
| Change |
- 1696 |
- 212 |
+ 228 |
+ 684 |
| After |
24 p |
3 p |
8 p |
24 p |
Amount that Owen earned from Shop Q on Thursday in percentage = 100%
Amount that Owen earned from Shop P on Thursday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Owen earned from Shop Q
= 1 -
311 =
811(3) = (4)
40 u - 1696 = 12 u + 684
40 u - 12 u = 1696 + 684
28 u = 2380
1 u = 2380 ÷ 28 = 85
Amount that Owen earned from Shop P over the two days
= 5 u - 212
= 5 x 85 - 212
= 425 - 212
= $213
Answer(s): $213
