Creating Equations from Two Variable Word Problems

Maria has 3 times as many apples as John. If John has x apples, how many apples does Maria have?

• 2x

• 4x

• x

• 3x

A movie theater sells adult tickets for $10 and child tickets for $5. If they sold a total of 50 tickets and made $400, how many adult and child tickets were sold?

• 20 adult tickets and 30 child tickets

• 40 adult tickets and 10 child tickets

• 30 adult tickets and 20 child tickets

• 25 adult tickets and 25 child tickets

Liam has twice as many marbles as Sarah. If Sarah has y marbles, write an equation to represent the number of marbles Liam has.

• Liam = 2y

• Liam = 3y

• Liam = y/2

• Liam = y

A gardener is planting flowers in two types of pots. If he has 4 large pots and 6 small pots, and he plants 3 flowers in each large pot and 2 in each small pot, how many flowers did he plant in total?

• 18

• 24

• 30

• 20

A school is organizing a field trip. If each bus can hold 20 students and they have 3 buses, how many students can go on the trip? If they have 45 students, how many more buses do they need?

• 1

• 2

• 3

• 0

A bakery sells cookies for $2 each and cupcakes for $3 each. If they sold a total of 30 items and made $70, how many cookies and cupcakes did they sell?

• 10 cookies and 20 cupcakes

• 15 cookies and 15 cupcakes

• 20 cookies and 10 cupcakes

• 25 cookies and 5 cupcakes

Emma has 5 more than twice the number of stickers that Jake has. If Jake has z stickers, write an equation to find the number of stickers Emma has.

• E = 3z + 5

• E = 2z + 5

• E = z + 5

• E = 2z - 5

A farmer has chickens and cows. If he has 10 animals in total and there are 4 more chickens than cows, how many chickens and cows does he have?

• 4 cows and 6 chickens

• 5 cows and 5 chickens

• 3 cows and 7 chickens

• 2 cows and 6 chickens

A bookstore sells novels for $15 and magazines for $5. If they sold 20 items for a total of $200, how many novels and magazines were sold?

• 12 novels and 8 magazines

• 10 novels and 10 magazines

• 5 novels and 15 magazines

• 15 novels and 5 magazines

In a class, there are twice as many girls as boys. If there are b boys, write an equation to find the number of girls in the class.

• b+2

• b/2

• b

• 2b