Word problems
Raito
100

A movie ticket costs $8. Sarah buys x tickets and spends $40.

Equation:
8x=40


Answer:
x=5x 

Sarah bought 5 tickets.

100

The ratio of boys to girls in a class is 3:5. If there are 15 boys, how many girls are there?


Answer:
g=25g 

There are 25 girls.


200

Jamal has $12 and saves $4 each week. After w weeks, he has $36.

Equation:
12+4w=36


Answer:
4w=244w
6w=6

Jamal saved for 6 weeks.

200

The ratio of red marbles to blue marbles is 2:7. If there are 14 red marbles, how many blue marbles are there?

Answer:
b=49b

There are 49 blue marbles.

300

A book has 120 pages. Maria has already read 30 pages and reads p pages per day for 6 days. She finishes the book.

Equation:
30+6p=120

Answer:
6p=906p  15p=15

Maria read 15 pages per day.

300

A recipe uses flour and sugar in the ratio 4:1. If you use 12 cups of flour, how much sugar is needed.

Answer:
s=3s 

You need 3 cups of sugar.

400

Apples cost $2 each. Ben spends $18 after paying a $4 delivery fee.

Equation:
2a+4=18


answer
2a=14
a=7a 

Ben bought 7 apples.

400

The ratio of students on Team A to Team B is 5:3. If Team B has 18 students, how many students are on Team A?

Answer:
a=30a 

Team A has 30 students.

500

A cyclist rides 10 miles per hour for h hours and travels 50 miles.

Equation:
10h=50

Answer:
h=5h 

Ben bought 7 apples.

500

A paint mixture uses red and yellow paint in the ratio 3:2. If 10 cups of yellow paint are used, how many cups of red paint are needed?

Answer:
r=15r 

You need 15 cups of red paint.


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