At first, Asher had 124 more grey beads than silver beads in a box. Each day, he took out 10 grey beads and 4 silver beads from the box. After some time, he only had 56 silver beads left in the box.
- How many beads did Asher take out from the box altogether?
- How many silver beads did Asher have at first?
|
Grey beads |
Silver beads |
Comparing grey beads and silver beads at first |
124 more |
|
Before |
10 u |
4 u + 56 |
Change |
- 10 u |
- 4 u |
After |
0 |
56 |
(a)
If another 124 silver beads are added into the box at first, the number of grey and silver beads will be the same.
10 u = 4 u + 56 + 124
10 u - 4 u = 56 + 124
6 u = 180
1 u = 180 ÷ 6 = 30
Number of beads that Asher took out
= 10 u + 4 u
= 14 u
= 14 x 30
= 420
(b)
Number of beads that Asher had at first
= 420 + 56
= 476
Answer(s): (a) 420; (b) 476