Julie and Jade collected marbles. Jade gave 70% of her marbles to Julie. As a result, Julie's marbles increased by 10%. If Julie had 385 marbles left, find the total number of marbles the two girls had at first.
| |
Comparing the change
in Jade's marbles |
Jade |
Julie |
| Before |
10x1 =
10 u |
|
10x7 =
70 u |
| Change |
- 7x1 =
- 7 u |
- 1x7 =
- 7 u |
+ 1x7 =
+ 7 u |
| After |
3x1 =
3 u |
|
11x7 =
77 u |
70% =
70100 =
710 10% =
10100 =
110 The number of marbles that Julie gave to Jade is repeated. Make the number of marbles that Julie gave to Jade the same. LCM of 1 and 7 is 7.
Number of marbles that Julie had in the end = 77 u
77 u = 385
1 u = 385 ÷ 77 = 5
Number of marbles that Jade and Julie had at first
= 10 u + 70 u
= 80 u
= 80 x 5
= 400
Answer(s): 400
