There are 25% more yellow pens than blue pens in a bag. After Luis removed 20% of the yellow pens and increased the number of blue pens by 10%, there are now 16 fewer yellow pens than blue pens. Find the number of blue pens at first.
|
Yellow |
Blue |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 0.4 u |
After |
4 u |
4.4 u |
Number of yellow pens in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of yellow pens that Luis removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of blue pens that Luis increased
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of yellow pens in the end
= 5 u - 1 u
= 4 u
Number of blue pens in the end
= 4 u + 0.4 u
= 4.4 u
Number of fewer yellow pens than blue pens in the end
= 4.4 u - 4 u
= 0.4 u
0.4 u = 16
1 u = 16 ÷ 0.4 = 40
Number of blue pens at first
= 4 u
= 4 x 40
= 160
Answer(s): 160