Elijah, Harry and Clint collected marbles in the ratio of 9 : 4 : 9. After Clint gave
710 to Elijah and Harry, Clint had 590 less marbles than Elijah. The number of marbles that Harry had increased by 20%. How many marbles did Elijah and Clint have in the end?
|
Elijah |
Harry |
Clint |
Before |
9 u |
4 u |
9 u |
Change |
+ 5.5 u |
+ 0.8 u |
- 6.3 u |
After |
14.5 u |
4.8 u |
2.7 u |
Number of marbles that Clint gave to Elijah and Harry
=
710 x 9 u
= 6.3 u
Number of marbles that Harry received from Clint
=
20100 x 4 u
= 0.8 u
Number of marbles that Elijah received from Clint
= 6.3 u - 0.8 u
= 5.5 u
Number of less marbles that Clint had less than Elijah
= 14.5 u - 2.7 u
= 11.8 u
11.8 u = 590
1 u = 590 ÷ 11.8 = 50
Number of marbles that Elijah and Clint had
= 14.5 u + 2.7 u
= 17.2 u
= 17.2 x 50
= 860
Answer(s): 860