Three girls, Esther, Vanessa and Jade had a total of 1320 beads. Some exchanges were made. First, Esther gave Vanessa as many beads as Vanessa had. After that, Vanessa gave
15 of whatever she had then to Jade. Finally, Jade gave
15 of whatever she had to Esther. As a result, they each had the same number of beads. How many beads did Esther have at first?
|
Esther |
Vanessa |
Jade |
Total |
Before 1 |
? |
1 u |
|
1320 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
1320 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
5 boxes |
1320 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
4 boxes |
|
After 3 |
1 group |
1 group |
1 group |
1320 |
3 groups = 1320
1 group = 1320 ÷ 3 = 440
1 group = 4 boxes 4 boxes = 440
1 box = 440 ÷ 4 = 110
4 p = 1 group
1 p = 440 ÷ 4 = 110
5 p = 5 x 110 = 550
5 p = 2 u
2 u = 550
1 u = 550 ÷ 2 = 275
Number of beads that Esther had at first
= 1 group - 1 box + 1 u
= 440 - 110 + 275
= 605
Answer(s): 605