Answer & Step-by-step explanation:
The first thing we must do is gather the information from the problem. We are given that there are 38 boys and 22 girls which makes a total of 60 children in all.
38 + 22 = 60
We are also given that out of 60 children, 33 of these children have vouchers which leaves 27 children who don't have vouchers.
60 - 33 = 27
Lastly, we are given that twice as many boys as girls do not have vouchers. So, we have to find two numbers that add together to 27 but one of those numbers have to be half of the other number. These number are 9 and 18.
9 + 18 = 27
18 / 2 = 9
So, 27 children do not have vouchers which include 18 boys and 9 girls.
Now that we know this, we can subtract the number of girls without vouchers to the total number of girls. We will also do the same for the boys.
Girls: 22 - 9 = 13
Boys: 38 - 18 = 20
So, 33 children have vouchers which include 20 boys and 13 girls.