Question

17. Five time as many girls as boys went to the dance. The total of 120 students went to

the dance.

a. If b represents the number of boys and g represents the number of girls, use

the numbers, variables, and symbols shown below to construct a system of

equations to model this situation. Some of the numbers, variables, and

operations will be used more than once and some will not be used at all.

b

g

+

10

3

4

1

5

120

2.

Answer 1

`b+g=120`

`b+5b=120`

Explanation:

let b be the number of boys went to the dance

let g be the number of girls went to the dance

Total number of students went to the dance are 120.

Which means the boys and girls collectively are 120 which forms the following equation.

`b+g=120`

The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:

`g=5b\\`

Insert it in the previous equation to get

`b+5b=120`