Question 1203012: a school has 42 teachers All the teachers travel to school by car bus or bicycle. 20 of the teachers are male.Five of the male teachers and three female teachers cycle to school. 17 of the teachers travel to school by bus.10 of the female teachers travel to school by car.Complete the two way table to show the numbers of teachers that travel to school by car bus and bicycle.
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Car bus Bicycle Total
Male
Female
Total
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
Starting template
| Car | Bus | Bicycle | Total | | Male | | | | | | Female | | | | | | Total | | | | |
The first two pieces of info are:
42 teachers total
20 are male
This means the remaining 42-20 = 22 teachers are female.
We'll have the numbers 20, 22, 42 along the "total" column
| Car | Bus | Bicycle | Total | | Male | | | | 20 | | Female | | | | 22 | | Total | | | | 42 |
Let's move to the next bit of given information:
Five of the male teachers and three female teachers cycle to school
This means we write "5" in the "male" row and "bicycle" column, as well as "3" just directly underneath that "5".
This totals to 5+3 = 8 teachers who travel using a bicycle.
| Car | Bus | Bicycle | Total | | Male | | | 5 | 20 | | Female | | | 3 | 22 | | Total | | | 8 | 42 |
Move onto the next bit of info
17 of the teachers travel to school by bus
We'll write "17" at the bottom of the "bus" column.
| Car | Bus | Bicycle | Total | | Male | | | 5 | 20 | | Female | | | 3 | 22 | | Total | | 17 | 8 | 42 |
Along the bottom row we have
x+17+8 = 42
where x is the total who drive a car
Solve that equation to get x = 17
There are 17 teachers that use a car
| Car | Bus | Bicycle | Total | | Male | | | 5 | 20 | | Female | | | 3 | 22 | | Total | 17 | 17 | 8 | 42 |
Then we're told "10 of the female teachers travel to school by car"
As you can probably guess, we'll have "10" in the "female" row and "car" column.
| Car | Bus | Bicycle | Total | | Male | | | 5 | 20 | | Female | 10 | | 3 | 22 | | Total | 17 | 17 | 8 | 42 |
I'll let the student fill in the remaining empty boxes.
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