Respuesta :
Complete Question:
Suppose David has $65 to spend on his ticket and some shirts. He already spent 32.25 on his ticket and fee write an inequality that could be used to find the maximum number of shirts he can buy
Cost of each shirt $ 14.50
Answer:
Inequality that could be used to find the maximum number of shirts he can buy is:
[tex]14.50x\leq 32.75[/tex]
He can buy maximum 2 shirts
Solution:
Given that,
Suppose David has $65 to spend on his ticket and some shirts
He already spent 32.25 on his ticket and fee
Therefore,
Remaining money = 65 - 32.25
Remaining money = 32.75
So, he can spend less than or equal to $ 32.75 on buying shirts
Since, cost of each shirt is $ 14.50,
The inequality is framed as:
[tex]14.50 \times x\leq 32.75\\\\14.50x\leq 32.75[/tex]
Find the number of shirts he can buy:
[tex]14.50x\leq 32.75\\\\Divide\ both\ sides\ by\ 14.50\\\\x \leq 2.2\\\\x\leq 2[/tex]
Thus he can buy maximum 2 shirts
