Zane, Neave and Cyrus collected buttons in the ratio of 11 : 8 : 6. After Cyrus gave
45 to Zane and Neave, Cyrus had 520 less buttons than Zane. The number of buttons that Neave had increased by 20%. How many buttons did Zane and Cyrus have in the end?
| |
Zane |
Neave |
Cyrus |
| Before |
11 u |
8 u |
6 u |
| Change |
+ 3.2 u |
+ 1.6 u |
- 4.8 u |
| After |
14.2 u |
9.6 u |
1.2 u |
Number of buttons that Cyrus gave to Zane and Neave
=
45 x 6 u
= 4.8 u
Number of buttons that Neave received from Cyrus
=
20100 x 8 u
= 1.6 u
Number of buttons that Zane received from Cyrus
= 4.8 u - 1.6 u
= 3.2 u
Number of less buttons that Cyrus had less than Zane
= 14.2 u - 1.2 u
= 13 u
13 u = 520
1 u = 520 ÷ 13 = 40
Number of buttons that Zane and Cyrus had
= 14.2 u + 1.2 u
= 15.4 u
= 15.4 x 40
= 616
Answer(s): 616
