A4 Math gr7 23-24 Form C Online

30 of 3030 of 30 Item s

Question 1
Jay and Liam are buying clothes.

Part A
Jay wants to spend less than $\$80$ . He plans to buy a pair of jeans that cost $\$19.99$ and some shirts that cost $\$14.99$ each.

Write an equation or inequality to represent the number of shirts Jay can buy. Define all variables used.
What is the greatest number of shirts that Jay can buy while spending less than $\$80$ ? Show your work.
Respond in the space provided.

Question 2
Part B
Liam buys a pair of jeans that cost $\$29.99$ and $5$ shirts that each cost the same amount of money. He spends a total of $\$94.94$ .

Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used.
What is the cost of each shirt that Liam buys? Show your work.
Respond in the space provided.

Skip to navigation

1 answer

Question 1

Part A:
Let $x$ be the number of shirts Jay buys. The total amount Jay spends is given by the equation $19.99 + 14.99x < 80$.

To find the greatest number of shirts Jay can buy while spending less than $\$80$, we solve the inequality for $x$:
$19.99 + 14.99x < 80$
$14.99x < 80 - 19.99$
$14.99x < 60.01$
$x < \frac{60.01}{14.99}$
$x < 4$

Therefore, Jay can buy a maximum of 4 shirts while spending less than $\$80$.

Question 2

Part B:
Let $y$ be the cost of each shirt Liam buys. The total amount Liam spends is given by the equation $29.99 + 5y = 94.94$.

To find the cost of each shirt that Liam buys, we solve the equation for $y$:
$29.99 + 5y = 94.94$
$5y = 94.94 - 29.99$
$5y = 64.95$
$y = \frac{64.95}{5}$
$y = 12.99$

Therefore, the cost of each shirt that Liam buys is $\$12.99$.