Systems Word Problems

Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill was $99, how many people ordered each dinner? (SELECT TWO EQUATIONS TO MAKE A SYSTEM)

• 6x+14y=17

• x+y=6

• 14x+17y=99

• x+y=99

Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill was $99, how many people ordered each dinner? (Solve the system)

• 2 chicken dinners and 4 steak dinners

• 6 chicken dinners and no (zero) steak dinner

• 3 chicken dinners and 3 steak dinners

• 1 chicken dinner and 5 steak dinners

Two times a number added to another number is 25. Three times the first number minus the

other number is 20. Find the numbers. (SELECT TWO EQUATIONS TO CREATE A SYSTEM)

• 2x+y=25

• 3x–y=20

• 2(x+y)=25

• 3(x-y)=20

Two times a number added to another number is 25. Three times the first number minus the

other number is 20. Find the numbers. (SOLVE THE SYSTEM)

• the two numbers are 14 and 2

• the two numbers are 13 and 26

• the two numbers are 1 and 5

• the two numbers are 9 and 7

At a baseball game, Henry bought 5 hotdogs and 3 bags of chips for $14.82. Scott bought 7

hotdogs and 6 bags of chips for $22.89. Find the cost of each hotdog and bag of chips. (SELECT TWO EQUATIONS TO MAKE A SYSTEM)

• 7x+6y=22.89

• 5x+3y=22.98

• 5x+3y=14.82

• 7x+6y=14.82

At a baseball game, Henry bought 5 hotdogs and 3 bags of chips for $14.82. Scott bought 7

hotdogs and 6 bags of chips for $22.89. Find the cost of each hotdog and bag of chips. (SOLVE THE SYSTEM)

• $2.25 for one hotdog and $1.19 for one bag of chips

• $3.66 for one hotdog and $2.23 for one dog of chips

• $1.19 for one hotdog and $2.25 for one bag of chips

• $2.23 for one hotdog and $3.66 for one dog of chips

Disney held a breakfast for parents and their children to eat with Mickey Mouse. Adult tickets cost $17.95 and children's tickets cost $12.95. Disney made $7355 from ticket sales from a total of 500 people that attended. How many adults and how many children were at the breakfast? (SELECT TWO EQUATIONS TO MAKE A SYSTEM)

• x+y= 7355

• 17.95x+12.95y=500

• 17.95x+12.95y=7355

• x+y=500

Disney held a breakfast for parents and their children to eat with Mickey Mouse. Adult tickets cost $17.95 and children's tickets cost $12.95. Disney made $7355 from ticket sales from a total of 500 people that attended. How many adults and how many children were at the breakfast? (SOLVE THE SYSTEM)

• 500 adults and 324 children

• 176 adults and 324 children

• 880 adults and 176 children

• 186 adults and 320 children

Gabe has 60 coins consisting of quarters and dimes. The combined value of coins is $9.45. How many quarters and dimes does Gabe have? (SELECT TWO EQUATIONS TO MAKE A SYSTEM) (a quarter is $0.25 and a dime is $0.10)

• 25x+10y=9.45

• 0.25x+0.10y=9.45

• x+y=60

• x+y=9.45

Gabe has 60 coins consisting of quarters and dimes. The combined value of coins is $9.45. How many quarters and dimes does Gabe have? (SOLVE THE SYSTEM) (a quarter is $0.25 and a dime is $0.10)

• 25 quarters and 10 dimes

• 37 quarters and 23 dimes

• 60 quarters and 60 dimes

• 23 quarters and 37 dimes