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Word Problems
Writing Equations
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100
You and your friends decide to have a car wash as a fundraiser. One student figured out that their profit can easily be figured out if they use the formula: P=6c-15 where P is the profit and C is the number of cars. Find the profit if the number of cars washed is 20.
What is P=$105
100
Grace opens a lemonade stand in her neighborhood. She charges $1.50 for each glass. She originally spent $6.50 supplies. Write an equation for how much she profited from the lemonade stand.
P=1.50C-6.50
100

2(m+3)=18

m=6

100
A=2ck solve for k.
k=A/(2c)
100

x/(-4) < 20

x>-80

200
You and your friends decide to have a car wash as a fundraiser. One student figured out that their profit can easily be figured out if they use the formula: P=6c-15 where P is the profit and C is the number of cars. What real world meaning does the coefficient 6 represent in the equation? What is the real world meaning of the 15 in the equation?
6 is the money earned for each car washed and 15 is the cost of the for the supplies.
200
Marcie is checking out gyms to fulfill her "New Year, New You" New Year's resolution. Rocky Mountain Fitness charges a $15 consultation fee and then a monthly fee of $75. Hiedi's Boot Camp is $30 a month with a $5 fee. Using 'm' as the variable, write a two sided equation for Marcie to figure out how long it would be when the gyms are equivalent.
15m+75=30m+15 **It would be 4 months before they were equal
200

4=-(z+11)

-15=z

200
S= 1/2(a+b) solve for a.
a= 2S-b or a=(S/(1/2)) -b
200
4d < -2(33 + d)
d < -11
300
The senior class at your school rented a dunk tank for the school fair. The dunk tank cost $125 to rent and the senior class charge $5 per play. 100 students participated what was the class's profit? Write solve the equation.
P=5*100-125 P=$375
300
27x+40=47x Write a story that fits the equation above.
Ans. May Vary
300

2(10+x) + 4(12-x) = 34

x=17

300
2x-2y-3=0 solve for y.
y = (3-2x)/2
300
5 (1-t) < 4(3-t)
t>-7
400
The senior class at your school rented a dunk tank for the school fair. The dunk tank cost $125 to rent and the senior class charge $5 per dunk. If they made a $300 profit, how many plays were there? Write solve the equation.
300=5*D-125 D=85
400
John wants to buy his team ice cream for a job well done. Large Marge's Ice-creamery sells cones for $3.70 a piece. For large parties, Large Marge will give you a deal. Discount Option A: $0.75 off each cone Discount Option B: $9 off your entire bill Using the variable 'k' for kiddos, write a two sided equation to figure out about what size party the discount options would result in the same bill.
A party of 12!
400

-5(3-z) + 1(z-9) = 0

z=4

400
3 = Rab + 4a solve for a.
3/(Rb+4) = a
400

3(x-6) + 2 >5x - 4

-12 > x

500
The fine for speeding in Connecticut is determined by the following formula. F=10(S-55) + 40 Complete the following: ALL MUST BE CORRECT OR NO POINTS ARE EARNED 1) What does the variable 'F' represent? 2) What does the variable 'S' represent? 3) If the maximum speeding fine is $340, how fast would an individual be going to earn that fine?
1) F: Fine 2) S: Speed 3) 85 mph
500
Gabe, Frank and Sam are playing a game. The player with the most points wins. Gabe has four more the twice as many points as Frank. Frank has three less than half as many points as Sam. Sam has 60 points. All or Nothing 1) Write an equation for Gabe's points and solve. 2) Write an equation for Frank's points and solve. 3) Write an equations for Sam's points and solve.
1) G=4+2F G=58 2) F=1/2S -3 F=27 3) S=60 S=60
500
-3(x-6) + 4(x+1) = 7x-10
x=16/3 or 5.3333333333....
500
Y = x + Rx +7 solve for x.
x = (Y-7)/(1+R)
500
9x - 7i > 3(3x - 7u) Simplify the above problem as far as you can!
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