Two numbers are in the ratio 5: 7. The difference between the numbers is 12. What is the larger number?

The ratio of the cost of a DVD player to the cost of a movie is 9:2. A DVD player costs $63 more than a movie. What is the cost of a DVD player?

Armand cuts a piece of wire into two smaller pieces that are in a ratio 7:5. The shorter piece is 40 cm. What was the length of the original piece of wire?

Two numbers are in the ratio 7: 9. The difference between the numbers is 10. What is their sum?

There are 22 more boys than girls at the school play. The ratio of boys to girls is 5:7. How many students were there altogether?