Elijah, Owen and Clint collected erasers in the ratio of 7 : 9 : 4. After Clint gave
710 to Elijah and Owen, Clint had 154 less erasers than Elijah. The number of erasers that Owen had increased by 10%. How many erasers did Elijah and Clint have in the end?
|
Elijah |
Owen |
Clint |
Before |
7 u |
9 u |
4 u |
Change |
+ 1.9 u |
+ 0.9 u |
- 2.8 u |
After |
8.9 u |
9.9 u |
1.2 u |
Number of erasers that Clint gave to Elijah and Owen
=
710 x 4 u
= 2.8 u
Number of erasers that Owen received from Clint
=
10100 x 9 u
= 0.9 u
Number of erasers that Elijah received from Clint
= 2.8 u - 0.9 u
= 1.9 u
Number of less erasers that Clint had less than Elijah
= 8.9 u - 1.2 u
= 7.7 u
7.7 u = 154
1 u = 154 ÷ 7.7 = 20
Number of erasers that Elijah and Clint had
= 8.9 u + 1.2 u
= 10.1 u
= 10.1 x 20
= 202
Answer(s): 202