Cathy, Olivia and Diana had a total of 260 erasers. Cathy gave
14 of her erasers away. Diana gave away 4 times as many erasers as Cathy and Olivia gave away 24 erasers. In the end, they had 146 erasers left. How many erasers did Olivia and Diana have in total in the end?
|
Cathy |
Olivia |
Diana |
Total |
Before |
4 u |
? |
? |
260 |
Change |
- 1 u |
- 24 |
- 4 u |
- 114 |
After |
3 u |
? |
146 |
Number of erasers that Diana gave away
= 4 x 1 u
= 4 u
Number of erasers given away
= 1 u + 24 + 4 u
= 5 u + 24
5 u + 24 = 260 - 146
5 u = 114 - 24
5 u = 90
1 u = 90 ÷ 5 = 18
Number of erasers that Olivia and Diana had in the end
= 146 - 3 u
= 146 - 3 x 18
= 146 - 54
= 92
Answer(s): 92