Answer:
9 girls and 18 boys don't have a voucher
Step-by-step explanation:
Data:
boys = 38
girls = 22
Total = 60
Children who have a voucher = 33
Children who don't have a voucher = 60-33 = 27
Twice as many boys as girls do not have a voucher
Girls who don't have a voucher: x
Boys who don't have a voucher: 2x
girls without voucher + boys without voucher: x + 2x = 27
3x = 27
x = 27/3
x = 9
Girls who don't have a voucher: x=9
Boys who don't have a voucher: 2x = 2(9) = 18
For frequency tree:
Total students: 60
Boys : 38
Boys who don't have a voucher : 18
Boys who have a voucher: 20
Girls: 22
Girls who don't have a voucher: 9
Girls who have a voucher: 13