SOLUTION: 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. 1

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.
.........................
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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