Zara had 11 more mochi balls than Julian at first. After Julian had eaten 33 of his mochi balls, Zara had 5 times as many mochi balls as Julian. How many mochi balls did Zara and Julian have in total at first?
| |
Zara |
Julian |
Total |
| Before |
1 u + 33 + 11 |
1 u + 33 |
6 u + 33 |
| Change |
|
- 33 |
|
| After |
5 u |
1 u |
|
The number of mochi balls that Zara had at first remains unchanged.
5 u = 1 u + 33 + 11
5 u - 1 u = 44
4 u = 44
1 u = 44 ÷ 4 = 11
Number of mochi balls that they had at first
= 6 u + 33
= 6 x 11 + 33
= 66 + 33
= 99
Answer(s): 99
