can someone help me with this problem please:

Write and solve the inequality for each word problem. Show work.

1. The waiter makes $10 per hour plus $65 in tips. He wants to earn AT LEAST $150. How many hours should he work?

2. Matteo was told he could spend AT MOST $80 to spend at the mall. He bought lunch for $25. He wants to buy phone cases for his friends. If the phone cases cost $5. How many phone cases can he buy?

Respuesta :

Answer:

Step-by-step explanation:

1. [tex]10x+65\geq 150[/tex] and solve for x

[tex]10x+65\geq 150\\[/tex]

-65             -65

[tex]10x\geq 85[/tex]

/10      /10

[tex]x\geq 8.5[/tex] The waiter has to work at least 8.5 hours.

2. [tex]5x+25\leq 80[/tex] and solve for x

[tex]5x+25\leq 80[/tex]

-25          -25

[tex]5x\leq 55[/tex]

/5     /5

[tex]x\leq 11[/tex] Mateo can buy at most 11 phone cases.

my133
11 phone cases !!! Hope this helps :)
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