Write and solve one-step mult. and div. inequalities
Hermes earns $6 an hour for babysitting. He wants to earn at least $168 for a new video game system. Determine the number of hours he must babysit to earn enough money for the video game system.
6x ≥ 168
x ≥ 28
-3x - 3 > 12
x < -5
A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie wants to spend no more than $27 for her rental, write and solve an inequality to determine how many hours she can rent the bicycle.
15 + 4x ≤ 27
x ≤ 3
Sadie wants to make several batches of rolls. She has 12 tablespoons of yeast left in the jar and each batch of rolls takes 3 tablespoons. Determine the number of batches of rolls Sadie can make.
3x ≤ 12
x ≤ 4
-4 ≤ 4x + 8
x ≥ -3
Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to determine how many hours she will need to babysit to buy the dress.
40 + 9x ≥ 112
x ≥ 8
A teacher is making tutus for the school play. She wants to make at least 24 tutus and needs 2 yards of tulle for each tutu. Determine the amount of tulle she needs to buy.
x/2 ≥ 24
x ≥ 48
6.5x - 11.3 ≤ 8.2
x ≤ 3
Douglas bought a $20 game card at a game center. The go-karts cost $3.50 each time you race. He wants to have at least $7.75 left on his card to play arcade games. Write and solve an inequality to determine how many times Douglas can race the go-karts.
20 - 3.5x ≥ 7.75
x ≤ 3.5
Cahse is making bookmarks. He wants to make no more than 12 bookmarks and needs 4.25 inches of fabric for each bookmark. Determine the amount of fabric he needs to buy.
x/4.25 ≤ 12
x ≤ 51
-2.45x + 3.2 < -6.6
x > 4
Robin was given a $40 monthly allowance. She wants to go to the movies as many times as possible and have at least $12.50 left at the end of the month to go to a concert. A movie ticket costs $5. Write and solve an inequality to determine how many times Robin can go to the movies.
40 - 5x ≥ 12.50
x ≤ 5.5