Zeph invited 9 more women than men to his party.
13 of the women and
16 of the men turned up at the party. A total of 51 adults who were invited did not turn up. How many adults did he invite?
|
Women |
Men |
Total |
Comparing women and men |
9 more |
|
|
Total |
3x2 = 6 u |
+ 9 |
6x1 = 6 u |
|
Turned up |
1x2 = 2 u |
+ 3 |
1x1 = 1 u |
|
Did not turn up |
2x2 = 4 u |
+ 6 |
5x1 = 5 u |
51 |
|
Women |
Men |
Total |
Total |
6 u |
+ 9 |
6 u |
|
Turned up |
2 u |
+ 3 |
1 u |
|
Did not turn up |
4 u |
+ 6 |
5 u |
51 |
13 x 9 = 3
9 - 3 = 6
Total number of adults in the end
= 4 u + 6 + 5 u
= 9 u + 6
9 u + 6 = 51
9 u = 51 - 6
9 u = 45
1 u = 45 ÷ 9 = 5
Number of adults that Zeph invited
= 6 u + 9 + 6 u
= 12 u + 9
= 12 x 5 + 9
= 60 + 9
= 69
Answer(s): 69