Sean owned two shops selling eyewear. Shop P earned 40% more money than Shop Q on Tuesday. On Wednesday, Shop P lost $207 while Shop Q earned another $180. In the end, Shop P contributed to 59 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)x4 = (3) |
Shop P
(1) |
Shop Q
(2) |
Make p the same
(2)x5 = (4) |
| Before |
28 u |
7 u |
5 u |
25 u |
| Change |
- 828 |
- 207 |
+ 180 |
+ 900 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Sean earned from Shop Q on Tuesday in percentage = 100%
Amount that Sean earned from Shop P on Tuesday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Sean earned from Shop Q
= 1 -
59 =
49(3) = (4)
28 u - 828 = 25 u + 900
28 u - 25 u = 828 + 900
3 u = 1728
1 u = 1728 ÷ 3 = 576
Amount that Sean earned from Shop P over the two days
= 7 u - 207
= 7 x 576 - 207
= 4032 - 207
= $3825
Answer(s): $3825
