Sean owned two shops selling watches. Shop Y earned 30% more money than Shop Z on Thursday. On Friday, Shop Y lost $155 while Shop Z earned another $465. In the end, Shop Y contributed to 38 of the total earnings of the two shops over the two days operation. How much did Shop Y earn over the two days?
| |
Make p the same
(1)x5 = (3) |
Shop Y
(1) |
Shop Z
(2) |
Make p the same
(2)x3 = (4) |
| Before |
65 u |
13 u |
10 u |
30 u |
| Change |
- 775 |
- 155 |
+ 465 |
+ 1395 |
| After |
15 p |
3 p |
5 p |
15 p |
Amount that Sean earned from Shop Z on Thursday in percentage = 100%
Amount that Sean earned from Shop Y on Thursday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Sean earned from Shop Z
= 1 -
38 =
58(3) = (4)
65 u - 775 = 30 u + 1395
65 u - 30 u = 775 + 1395
35 u = 2170
1 u = 2170 ÷ 35 = 62
Amount that Sean earned from Shop Y over the two days
= 13 u - 155
= 13 x 62 - 155
= 806 - 155
= $651
Answer(s): $651
