Twenty-two less than three times a number is -70.

The product of a number and 4 increased by 16 is -2.

Twelve less than the one-fifth of a number is -7.

Six more than nine times a number is 456.

It costs $13 for admission to an amusement park, plus $1.50 for each ride. If you have a total of $35.50 to spend, what is the greatest number of rides you can go on?

Trey went to the batting cages to practice hitting. He rented a helmet for $4 and paid $0.75 for each group of 20 pitches. If he spent a total of $7 at the batting cages, how many groups of pitches did he pay for?

Make a Conjecture Hunter and Amado are each trying to save $600 for a summer trip. Hunter started with $150 and earns $7.50 per hour working at a grocery store. Amado has nothing saved, but he earns $12 per hour painting houses.

a. Make a conjecture about who will take longer to save enough money for the trip. Justify your reasoning.

b. Write and solve two equations to check your conjecture.