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
+
3
4
1
5
10
120
2
b. Determine the number of boys and girls went to the dance.

Part a) System of equations:  

g = 5 b

b + g = 120

Part b) There were 20 boys, and 100 girls at the dance.

Step-by-step explanation:

Part a)

We start by writing a mathematical expression associated with he two given statements:

1)  "Five times as many girls as boys" using "g" to represent the number of girls, and "b" for the number of boys:

  g = 5 b

2) a "Total of 120 students" ...

This means that the addition of boys "b" and girls "g" should render 12:

  b +  g = 120

Part b)

Solve for the number of boys and girls by first replacing (substituting) "g" with "5 b" in the second equation, solving for "b":

b + 5 b = 120

6 b = 120

b = 120/6

b = 20

and now that we know the number of boys, finding the number of girls "g" using the first equation:

g = 5 (20)

g = 100

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )