Olivia and Gwen had an equal number of marbles at first. Olivia used
12 of her marbles and Gwen used
17 of her marbles. They used 72 marbles altogether. How many marbles did Gwen have in the end?
|
Olivia |
Gwen |
Before |
2x7 = 14 u |
7x2 = 14 u |
Change |
- 1x7 = - 7 u |
- 1x2 = - 2 u |
After |
1x7 = 7 u |
6x2 = 12 u |
The number of marbles that Olivia and Gwen each had at first is the same. Make the number of marbles that Olivia and Gwen each had at first the same. LCM of 2 and 7 is 14.
Number of marbles that Olivia and Gwen used
= 7 u + 2 u
= 9 u
9 u = 72
1 u = 72 ÷ 9 = 8
Number of marbles that Gwen had in the end
= 12 u
= 12 x 8
= 96
Answer(s): 96