Worksheet C - Meghan Potter

Name : ____________________

Worksheet C

Directions: For each problem, write down what the variable is, the equation, and solution. MAKE SURE YOU SHOW WORK!

1) A glove and a ball together cost $85. If the glove cost $75 more than the ball, what is the cost of the ball?

2) Ryan weighs twice as much as Steve and the total of their weights is 195 pounds. How much does Steve weigh?

3) A truck and its load weigh 22,800 pounds. If the load weights 12,400 pounds more than the truck, how much does the truck weigh?

4) If 36 is added to four times a number, the value is equal to seven times that number. What is the number?

5) Four consecutive numbers add up to 154. What is the smallest number?

6) Luke is three years older than Rachel who is three years older than Daniel. If their ages add up to 51. How old is Luke?

7) Scott was paid $7 per hour plus a bonus of %18.50 per day. On a certain day Scott was paid $64. How many hours did her work on that day?

8) Erin has $35 more than Angie who had 3 times as much money as Jacob. If they had $196 altogether, how much money did Jacob have?

9) There are two numbers whose sum is 144. One number is three times as large as the other numbers. What is the smallest number?

10) Four consecutive multiples of 15 add up to 390. What is the largest number?

Name : ___KEY_____

Worksheet C

Directions: For each problem, write down what the variable is, the equation, and solution. MAKE SURE YOU SHOW WORK!

1) A glove and a ball together cost $85. If the glove cost $75 more than the ball, what is the cost of the ball? Ball: n

Glove: n+75

Equation: 2n+75=85

Answer: 5 balls

2) Ryan weighs twice as much as Steve and the total of their weights is 195 pounds. How much does Steve weigh? Steve: n Ryan: 2n Equation: 3n = 195 Answer: Steve weights 65 pounds

3) A truck and its load weigh 22,800 pounds. If the load weights 12,400 pounds more than the truck, how much does the truck weigh? Truck: n Load: n+12,400 Equation: 2n+12400= 22800 Answer: truck weights 5,200 pounds

4) If 36 is added to four times a number, the value is equal to seven times that number. What is the number? Equation: 4n+36 = 7n Answer: 12

5) Four consecutive numbers add up to 154. What is the smallest number? Smallest n Next: n+1 Next: n+2 Largest: n+3

Equation: 4n +6 = 154 Answer: 37

6) Luke is three years older than Rachel who is three years older than Daniel. If their ages add up to 51. How old is Luke? Daniel: n Rachel: n+3 Luke: n+6 Equation: 3n+9 = 51 Answer: n=14, so Daniele is 14 and Luke is 20

7) Scott was paid $7 per hour plus a bonus of %18.50 per day. On a certain day Scott was paid $64. How many hours did her work on that day? n= number of hours worked Equation: 7n+18.50 = 64 Answer = 6.5 hours

8) Erin has $35 more than Angie who had 3 times as much money as Jacob. If they had $196 altogether, how much money did Jacob have? Jacob: n Angie: 3n Erin: 3n+35 Equation: 7n+35 = 196 Answer: 23 dollars

9) There are two numbers whose sum is 144. One number is three times as large as the other numbers. What is the smallest number? Smallest: n Largest: 3n Equation: 4n=144 Answer: 36

10) Four consecutive multiples of 15 add up to 390. What is the largest number?

Smallest: n

Next: n+15

Next: n+30

Largest: n+45

Equation: 4n+90

Answer: n=75, so the largest number is 120

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