A basket contained grey and green beads. There were 60% more grey beads than green beads. When 22 more beads were poured into the basket, the amount of grey beads increased by 25% and the amount of green beads increased 70%. How many beads were in the basket at first?
| |
Grey beads |
Green beads |
Total beads |
| Before |
8 u |
5 u |
13 u |
| Change |
+ 2 u |
+ 3.5 u |
+ 5.5 u |
| After |
10 u |
8.5 u |
18.5 u |
100% + 60% = 160%
160% =
160100 =
85Number of more grey beads that were poured into the basket
= 25% x 8 u
=
25100 x 8 u
= 2 u
Number of more green beads that were poured into the basket
= 70% x 5 u
=
70100 x 5 u
= 3.5 u
Total number of more beads that were poured into the basket
= 2 u + 3.5 u
= 5.5 u
5.5 u = 22
1 u = 22 ÷ 5.5 = 4
Number of beads in the basket at first
= 8 u + 5 u
= 13 u
= 13 x 4
= 52
Answer(s): 52
