Tommy invited 12 more men than women to his party.
13 of the men and
16 of the women turned up at the party. A total of 53 adults who were invited did not turn up. How many adults did he invite?
|
Men |
Women |
Total |
Comparing men and women |
12 more |
|
|
Total |
3x2 = 6 u |
+ 12 |
6x1 = 6 u |
|
Turned up |
1x2 = 2 u |
+ 4 |
1x1 = 1 u |
|
Did not turn up |
2x2 = 4 u |
+ 8 |
5x1 = 5 u |
53 |
|
Men |
Women |
Total |
Total |
6 u |
+ 12 |
6 u |
|
Turned up |
2 u |
+ 4 |
1 u |
|
Did not turn up |
4 u |
+ 8 |
5 u |
53 |
13 x 12 = 4
12 - 4 = 8
Total number of adults in the end
= 4 u + 8 + 5 u
= 9 u + 8
9 u + 8 = 53
9 u = 53 - 8
9 u = 45
1 u = 45 ÷ 9 = 5
Number of adults that Tommy invited
= 6 u + 12 + 6 u
= 12 u + 12
= 12 x 5 + 12
= 60 + 12
= 72
Answer(s): 72