Using Variables to Express Inequalities, Grade 7 Math *PLEASE HELP* (Questions 1-3)

Question

Question 1: Andrew had $20 to spend at the fair. If he paid $5 to get into the fair, and the rides cost $2 each. what is the maximum number of rides he could go on?

Let r represent the number of rides.

Inequality: _____________________

Andrew could go on ___________________________ rides.

Question 2: Sandra had $75 to spend on a new outfit. She finds a sweater that costs twice as much as the skirt. What is the most the skirt can cost?

Let s represent the cost of the skirt.

Inequality; ______________

The most the skirt can cost is _________________________.

Question 3: Alan earns $.7.50 per hour at his after-school jobs. He is saving money to buy a skateboard that costs $120. How many hours will he have to work to earn enough money for the skateboard?

Let h represent the number of hours Alan will have to work.

Inequality; ______________

Alan will have to work _________________________ hours.

I am looking for answers + explanations to these questions.

THANK YOU!

These questions 1-3 of Lesson 3.5, Using Variables to Express Inequalities, which can be found on page 49 of the Grade 7 Spectrum Math workbook. The unit is called "Expressions, Equations, and Inequalities."

Answer 1

20</= 5+2r

15/2 </=r

r >/= 7.5

maximum is 7 rides on $20

if she's buying a sweater & skirt with skirt half the cost of the sweater, all on $75

then most the skirt costs is $25, with the sweater at 2 x 25 = $50

75>/=2s +s, s = 75/(2+1) = 25 maximum

7.5h =/> 120

h = 120/7.5= 1200/75 = 48/3= at least 16 hours to save $120

16 x 7.5 = 120