Colette went to play miniature golf on Monday, when it cost $14 to rent the club and ball, plus $4 per game. Maddie went Thursday, paying $6 per game, plus rental fees of $2. By coincidence, they played the same number of games for the same total cost. How much did each one spend? How many games did each one play?

Each one of them spent $38

Each one of them played 6 games.

Step-by-step explanation:

The number of games be represented by g

Colette went to play miniature golf on Monday, when it cost $14 to rent the club and ball, plus $4 per game.

$14 + $4 × g

= 14 + 4g

Maddie went Thursday, paying $6 per game, plus rental fees of $2.

$2 + $6 × g

= 2 + 6g

The equation is :

14 + 4g = 2 + 6g

We solve for g

Collect like terms

14 - 2 = 6g - 4g

12 = 2g

g = 12/2

g = 6

How many games did each one play?

Each one of them played 6 games.

How much did each one spend?

For Colette

The amount she spent :

14 + 4g

=$14 + 4 × 6

= $14 + 24

= $38

For Maddie

2 + 6g

=$ 2 + 6(6)

=$ 2 + 36

= $38

step-by-step explanation:

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step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be