Luke had
35 as many marbles as Tammy. After Luke gave away 31 marbles, he had 65 less marbles than Tammy. How many marbles did Tammy have?
| |
Luke |
Tammy |
| Before |
3 u |
5 u |
| Change |
- 31 |
|
| After |
3 u - 31 |
5 u |
Tammy had 65 more marbles than Luke in the end. So, if Luke had another 65 marbles, he would have the same number of marbles as Tammy.
5 u = 3 u - 31 + 65
5 u - 3 u = 65 - 31
2 u = 34
1 u = 34 ÷ 2 = 17
Number of marbles that Tammy had at first
= 5 u
= 5 x 17
= 85
Answer: 85
