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Sagot :
Answer:
The inequality that can be used to determine the number of guitar lessons Gale could take using her birthday money is:
[tex]25x + 50 \leqslant 200[/tex]
The solution to the inequality is:
[tex]x \leqslant 6[/tex]
She can take at most, 6 guitar lessons
Step-by-step explanation:
Total amount Gale received is $200
For rental equipment, she paid $50
Each guitar lesson will cost $25
Let x represent the number of lessons she could take, then the total amount she will spend must bot exceed $200
The guitar lesson will cost a total of 25x
So, her total spending will be:
[tex]25x + 50[/tex]
This must be at most $200
[tex]25x + 50 \leqslant 20[/tex]
Solving the above inequality:
[tex]25x \leqslant 200 - 50 = 150[/tex]
[tex]x \leqslant \frac{150}{25} = 6[/tex]
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