Fanny, Olivia and Esther had a total of 257 beads. Fanny gave
15 of her beads away. Esther gave away 5 times as many beads as Fanny and Olivia gave away 21 beads. In the end, they had 158 beads left. How many beads did Olivia and Esther have in total in the end?
| |
Fanny |
Olivia |
Esther |
Total |
| Before |
5 u |
? |
? |
257 |
| Change |
- 1 u |
- 21 |
- 5 u |
- 99 |
| After |
4 u |
? |
158 |
Number of beads that Esther gave away
= 5 x 1 u
= 5 u
Number of beads given away
= 1 u + 21 + 5 u
= 6 u + 21
6 u + 21 = 257 - 158
6 u = 99 - 21
6 u = 78
1 u = 78 ÷ 6 = 13
Number of beads that Olivia and Esther had in the end
= 158 - 4 u
= 158 - 4 x 13
= 158 - 52
= 106
Answer(s): 106
