A rental car company charges $48 per day to rent a car and $0.08 for every mile driven. Bilquis wants to rent a car, knowing that:
She plans to drive 175 miles.
She has at most $110 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Bilquis can afford to rent while staying within her budget.
Answer
Attempt 1 out of 2
Inequality:
48x + 0.08(175) ≤ 110
Simplifying the inequality, we get:
48x + 14 ≤ 110
Subtracting 14 from both sides, we get:
48x ≤ 96
Dividing both sides by 48, we get:
x ≤ 2
Therefore, Bilquis can afford to rent the car for at most 2 days while staying within her budget.
A group of friends wants to go to the amusement park. They have no more than $115 to spend on parking and admission. Parking is $15, and tickets cost $25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Answer
Attempt 1 out of 2
Inequality:
xx
25x + 15 ≤ 115
Simplifying the inequality, we get:
25x ≤ 100
Dividing both sides by 25, we get:
x ≤ 4
Therefore, a maximum of 4 people can go to the amusement park with the given budget.
A group of friends wants to go to the amusement park. They have no more than $170 to spend on parking and admission. Parking is $7.25, and tickets cost $23.25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Answer
Attempt 1 out of 2
Inequality:
xx
23.25x + 7.25 ≤ 170
Simplifying the inequality, we get:
23.25x ≤ 162.75
Dividing both sides by 23.25, we get:
x ≤ 7
Therefore, a maximum of 7 people can go to the amusement park with the given budget.
Lily needs to order some new supplies for the restaurant where she works. The restaurant needs at least 420 spoons. There are currently 159 spoons. If each set on sale contains 6 spoons, write and solve an inequality which can be used to determine ss, the number of sets of spoons Lily could buy for the restaurant to have enough spoons.
Answer
Attempt 1 out of 2
Inequality:
ss
159 + 6s ≥ 420
Subtracting 159 from both sides, we get:
6s ≥ 261
Dividing both sides by 6, we get:
s ≥ 43.5
Since we can't have a fraction of a set, Lily would need to buy at least 44 sets of spoons to have enough.
A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24500 kilograms. Other shipments weighing 14600 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 60-kilogram crates that can be loaded into the shipping container.
Answer
Attempt 1 out of 2
Inequality:
xx
60x + 14600 ≤ 24500
Subtracting 14600 from both sides, we get:
60x ≤ 9900
Dividing both sides by 60, we get:
x ≤ 165
Therefore, a maximum of 165 60-kilogram crates can be loaded into the shipping container.