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100
7a+10=2a
a= -2
100
3-10b=2b-9
b= 1
100
8(5-n)= 2n
n= 4
100
Will averages 18 points a game and is the all-time scoring leader on his team with 483 points. Tom averages 21 points a game and is currently second on the all-time scorers list with 462 points. If both players continue to play at the same rate, how many games will it take for Tom and Will have scored the same number of total points.Write and solve.
7 Games
100
4/5x + 3= x
x= 15
200
6x+10=1x
x= -2
200
m-18=3m
m= -9
200
7(a-2) - 6= 2a + 8 + a
a= 7
200
If you pay a one-time fee of $30, you can purchase gold tickets for your local minor league baseball team for only $3 a game. Regular tickets sell at the stadium for $6. How many gold tickets would you need to buy to equal the cost of the tickets.
10 Tickets
200
2z-31=-9z+24
z= 5
300
3k+14=k
k= -7
300
3d=18-3d
d= 3
300
5x + 5(1-x)= x + 8
x= -3
300
Jarvis needs to rent a moving truck. Suppose Company A charges a rate of $40 per day and Company B charges a $60 fee plus $20 a day. For what number of days is the cost the same?
3 Days
300
-7x+5=x-19
x= 3
400
11x=24+8x
x= 8
400
8y-3=6y-17
y= 10
400
3x + 2[1-3(x + 2)]= 2x
x= -2
400
Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?
14 Videos
400
-2g+15=45-8g
g= 5
500
x+5=4x+26
x= 7
500
9-2y=8y-6
y= 1.5
500
5(2m+3)-(1-2m)= 2[3(3+2m)- (3-m)]
m= 1
500
Suppose your club is selling candles to raise money. It costs $100 to rent a booth from which to sell the candles. If the candles cost your club $1 each and are sold for $5, how many candles must be sold to equal your expenses?
25 Candles
500
4n+13=n-8
n= -7