Peter owned two shops selling eyewear. Shop C earned 40% more money than Shop D on Thursday. On Friday, Shop C lost $356 while Shop D earned another $386. In the end, Shop C contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop C earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop C
(1) |
Shop D
(2) |
Make p the same
(2)x5 = (4) |
| Before |
28 u |
7 u |
5 u |
25 u |
| Change |
- 1424 |
- 356 |
+ 386 |
+ 1930 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Peter earned from Shop D on Thursday in percentage = 100%
Amount that Peter earned from Shop C on Thursday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Peter earned from Shop D
= 1 -
59 =
49(3) = (4)
28 u - 1424 = 25 u + 1930
28 u - 25 u = 1424 + 1930
3 u = 3354
1 u = 3354 ÷ 3 = 1118
Amount that Peter earned from Shop C over the two days
= 7 u - 356
= 7 x 1118 - 356
= 7826 - 356
= $7470
Answer(s): $7470
