Question

You and a friend plan to buy six souvenir T-shirts to take home. You have $48 to
spend, and the T-shirts sell for $7 and $10. Write and solve an inequality that represents
the possible number of $10 T-shirts you can purchase. What is the minimum number of
$7 T-shirts that you can purchase?

Answer 1

Answer:

the minimum number of  $7 T-shirts that you can purchase is 4.

Step-by-step explanation:

Let x number of T-shirts purchased at the price of $7.

and y number of T-shirts purchased at the price of $10.

According to the given condition, the total amount for purchasing the T-shirt is $48.

Therefore,

$7x+10y\leq 48$

Also, you are planned to buy a total of six T-shirts.

$x+y=6$

Solve, the above equation for $y$.

$y=x-6$

Substitute the value of $y$ in the inequality.

$\begin{aligned}7x+10(6-x)&\leq 48\\7x+60-10x&\leq 48\\-3x&\leq -12\\x&\geq 4\end{aligned}$

Therefore, the lowest value of $7 T-shirts that you can purchase is 4.

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