Jaslyn and Carl collect pencils and erasers. Carl has 65 less pencils than erasers. Carl has 4 times the number of pencils Jaslyn has, and Jaslyn has 20% more erasers than Carl. After Jaslyn gives Carl all of her pencils and Carl gives Jaslyn 60% of his erasers, Carl has 42 less erasers than pencils. Find the number of erasers Jaslyn has at first.
Jaslyn |
Carl |
Erasers |
Pencils |
Erasers |
Pencils |
4.8 u + 78 |
1 u |
4 u + 65 |
4 u |
+ 2.4 u + 39 |
- 1 u |
- 2.4 u - 39 |
+ 1 u |
7.2 u + 117 |
0 |
1.6 u + 26 |
5 u |
100%+ 20% = 120%
120% x 4 u
=
120100 x 4 u
= 4.8 u
120% x 65
=
120100 x 65
= 78
60% x 4 u
=
60100 x 4 u
= 2.4 u
60% x 65
=
60100 x 65
= 39
If another 42 erasers are given to Carl, he will have equal number of erasers and pencils in the end.
5 u = 1.6 u + 26 + 42
5 u - 1.6 u = 68
3.4 u = 68
1 u = 68 ÷ 3.4 = 20
Number of erasers that Jaslyn has at first
= 4.8 u + 78
= 4.8 x 20 + 78
= 96 + 78
= 174
Answer(s): 174