Zeph, Julian and Clifford collected marbles in the ratio of 7 : 8 : 6. After Clifford gave
35 to Zeph and Julian, Clifford had 150 less marbles than Zeph. The number of marbles that Julian had increased by 40%. How many marbles did Zeph and Clifford have in the end?
|
Zeph |
Julian |
Clifford |
Before |
7 u |
8 u |
6 u |
Change |
+ 0.4 u |
+ 3.2 u |
- 3.6 u |
After |
7.4 u |
11.2 u |
2.4 u |
Number of marbles that Clifford gave to Zeph and Julian
=
35 x 6 u
= 3.6 u
Number of marbles that Julian received from Clifford
=
40100 x 8 u
= 3.2 u
Number of marbles that Zeph received from Clifford
= 3.6 u - 3.2 u
= 0.4 u
Number of less marbles that Clifford had less than Zeph
= 7.4 u - 2.4 u
= 5 u
5 u = 150
1 u = 150 ÷ 5 = 30
Number of marbles that Zeph and Clifford had
= 7.4 u + 2.4 u
= 9.8 u
= 9.8 x 30
= 294
Answer(s): 294