Zane invited 3 more men than women to his party.
23 of the men and
34 of the women turned up at the party. A total of 22 adults who were invited did not turn up. How many adults did he invite?
|
Men |
Women |
Total |
Comparing men and women |
3 more |
|
|
Total |
3x4 = 12 u |
+ 3 |
4x3 = 12 u |
|
Turned up |
2x4 = 8 u |
+ 2 |
3x3 = 9 u |
|
Did not turn up |
1x4 = 4 u |
+ 1 |
1x3 = 3 u |
22 |
|
Men |
Women |
Total |
Total |
12 u |
+ 3 |
12 u |
|
Turned up |
8 u |
+ 2 |
9 u |
|
Did not turn up |
4 u |
+ 1 |
3 u |
22 |
23 x 3 = 2
3 - 2 = 1
Total number of adults in the end
= 4 u + 1 + 3 u
= 7 u + 1
7 u + 1 = 22
7 u = 22 - 1
7 u = 21
1 u = 21 ÷ 7 = 3
Number of adults that Zane invited
= 12 u + 3 + 12 u
= 24 u + 3
= 24 x 3 + 3
= 72 + 3
= 75
Answer(s): 75