Solving Proportional Equations Word Problems

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

WRITE AN EQUATION
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?

• (x-10)/4=2

• x-10/4=2

• x-10=2(4)

• 2(x-10)=4

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

Bella is making a recipe that requires a certain ratio of sugar to flour. If she uses 16 cups of flour, how many cups of sugar does she need to maintain the ratio of 60:48?

• 3

• 15

• 20

• 10

The fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42-pound bag. How much will Eileen pay if her bag weighs 63 pounds?

• $10.71

• $449.82

• $409

• $107.10

The fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42-pound bag. How much will Eileen pay if her bag weighs 63 pounds?

• $10.71

• $449.82

• $409

• $107.10

While preparing for a triathlon, Janecia swims 8 minutes for every 20 minutes she bikes.  If she swims 72 minutes, how long does she bike for?

• 180 minutes

• 144 minutes

• 92 minutes

• 80 minutes

The fee to check luggage with a

new airline is based on the weight

of each bag. Brett paid $7.14 to

check a 42-pound bag. How

much will Eileen pay if her bag

weighs 63 pounds?

• $10.71

• $449.82

• $409

• $107.10

Tank 1 currently has 40 gallons of water and is filling at a rate of 1.5 gallons per minute. Tank 2 has 220 gallons of water and is draining at a rate of 3 gallons per minute. After how many minutes will the two tanks have the same amount of water? Write the equation.

You are hosting a bake sale, but it isn't going well! You decide to reduce your prices by $0.75, and then you get 15 sales for a total of $33.75. What was your original price per item? Write the equation.

• 15p-0.75=33.75

• 15(p-0.75)=33.75

• 0.75p+15=33.75

• 33.75-0.75p=15