Question

4/9 of a group of students are girls. If there are 17 more boys than girls, How many students are there altogether?

Answer 1

Answer:

Alright, so let’s make the information given into equations

b= # of boys

g= # of girls

x= total number of students = b + g

4/9(b+g)=g which becomes 4/9b + 4/9g = g

4/9b = 5/9g

g= ((4/9)b)/(5/9)

g + 17 = b

Now solve for g

g= b-17

Now set those both equal to each toher

b-17 = (4/9b)/(5/9)

b-17= 0.8b

b-0.8b = 17

b(1–0.8) = 17

b(0.2) = 17

b= 17/0.2

b= 85

Now we know how many boys

Solve for girls

g = b-17

g=68

So there are 85 boys and 68 girls!

HOPE IT HELPS YOU

Answer 2

Step-by-step explanation:

Alright, so let’s make the information given into equations

b= # of boys

g= # of girls

x= total number of students = b + g

4/9(b+g)=g which becomes 4/9b + 4/9g = g

4/9b = 5/9g

g= ((4/9)b)/(5/9)

g + 17 = b

Now solve for g

g= b-17

Now set those both equal to each toher

b-17 = (4/9b)/(5/9)

b-17= 0.8b

b-0.8b = 17

b(1–0.8) = 17

b(0.2) = 17

b= 17/0.2

b= 85

Now we know how many boys

Solve for girls

g = b-17

g=68

So there are 85 boys and 68 girls!