Solve for the Variable Word Problems

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25
  5c + 10d = 16.50

• 10c + 5d = 16.50
  5c + 10d = 14.25

• c + d = 10
  5c + 10d = 16.50

• c + d = 5
  5c + 10d = 16.50

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6
  14.80x + 17y = 91

• x + y = 91
  14.80x + 17y = 6

• x + y = 6
  14.80y + 17x = 91

• x + y = 91
  14.80x+ 17y = 6

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

• 4x + 7y = 578
  x + y = 3365

• 4x + 7y = 3365
  x + y = 578

• 4y + 7x = 578
  x + y = 3365

• 4y + 7x = 3365
  x + y = 578

Ashley finds masking tape in packages of 4 rolls for $4.32. What is the cost of one roll in  the package?

• 4x = 4.32

• 4.32x = 4

• 4(4.324) = x

• 4/ 4.32 = x

Each pair of socks costs $2.50. if Ella buys 6 pairs, how much does she pay?

• 6x = 2.50

• 2.50 = 6x

• 6 = 2.50x

• 2.50(6) = x

Two hundred seventy-six people are seated in 12 identical rows for a performance of a school play. How many people are in each row? Let p be the number of people in each row.

• p = 276 ÷ 12

• p = 276 ⋅ 12

• 276p = 12

• p = 12 + 276

Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades? Write an equation you could use to solve this problem. Use m as your variable.

• m-25.32=15

• m/25.32

• m-15=25.32

• 15m=25.32

4x = 44

• x = 40

• x = 11

• x = 48

• x = 176

x ÷ 2 = 12

• x = 24

• x = 6

• x = 20

• x = 10

x ÷ 13 = 8

• x = 91

• x = 104

• x = 21

• x = 5