Systems of Equations Word Problems

The cost of 12 oranges and 7 apples is $5.36. Eight oranges and five apples cost $3.68. Find the cost of each.

• oranges are $0.26 and apples are $0.32

• oranges are $0.32 and apples are $0.26

• oranges are $0.46 and apples are $0.74

• oranges are $0.45 and apples are $0.77

A group of 40 children attended a baseball game on a field trip. Each child received either a hotdog or a bag of popcorn. Hot dogs were $2.25 and popcorn was $1.75. If the total bill was $83.50, how many hotdogs and how many bags of popcorn were purchased?

• 13 hotdogs and 27 bags of popcorn

• 27 hotdogs and 13 bags of popcorn

• 20 hotdogs and 20 bags of popcorn

• 40 hotdogs and 37 bags of popcorn

A collection of dimes and nickels is worth $3.30. There are 42 coins in all. Which two equations could be used to determine how many of each coin there are?

A collection of dimes and nickels is worth $3.30. If there are 42 coins in all, how many of each kind of coin are there? Select both answers (# of dimes and # of nickels)

• 24 dimes

• 18 nickels

• 18 dimes

• 24 nickels

Mary has a collection of nickels and quarters for a total value of $4.90. She has a total of 42 coins. Which two equations could be used to determine how many of each kind of coin she has?

Mrs. Leath tells you that the next test is worth 100 points and has 38 problems. Multiple-choice questions are worth 2 pionts each, and word problems are worth 5 points each. How many word problems are there? How many multiple-chioce questions are there? Select both answers.

• 8 word problems

• 4 word problems

• 38 multiple-choice

• 30 multiple-choice

A retailer ordered a total of 50 sweatshirts. Some of the sweatshirts were red and some were white. Each white sweatshirt cost him $10 and each red sweatshirt cost him $12. If he paid a total of $556 for the order, how many white sweatshirts did he order?

• 28 white sweatshirts

• 22 white sweatshirts

• 50 white sweatshirts

• 46 white sweatshirts

Over the holidays, Riel's family was in town visiting. The whole family decided to go out to see a movie in the theater. There were 23 people in their group. At the theater, adult tickets cost $12 and child tickets cost $8. The total cost of tickets for the family was $220. Which equations could be used to determine how many adults and how many children were in their group?

You are opening a lemonade stand and you will sell small and large cups of lemonade. You decide to charge $1.50 for a small cup and $2 for a large. One day, you sold a total of 84 cups of lemonade and you made $152. Which two equations could be used to determine how many small and large cups you sold?

You are opening a lemonade stand and you will sell small and large cups of lemonade. You decide to charge $1.50 for a small cup and $2 for a large. One day, you sold a total of 84 cups of lemonade and you made $152. How many small cups did you sell?

• 32 small cups

• 52 small cups

• 84 small cups

• 20 small cups