Question

Tamera bought green and blue t-shirts as gifts. A green t-shirt costs $4.75, while a blue t-shirt costs $5.25. Tamera spent $95.75 on 19 t-shirts. Let g represent the number of green t-shirts and b represent the number of blue t-shirts. How many green t-shirts did she buy? Use the table to guess and check.

Answer 1

Answer: 8 green shirts and 11 blue shirts

Explanation:

Here g represent the number of green t-shirts and b represent the number of blue t-shirts.

Since, she bought total 19 t-shirts,

That is, g + b = 19 --------------(1)

Also, A green t-shirt costs $4.75, while a blue t-shirt costs $5.25 and Tamera spent $95.75,

That is, 4.75 g + 5.25 b = 95.75 ----------(2)

4.75 × Equation (1),

4.75 g + 4.75 b = 90.25 ---------- (3),

Equation (3) - equation 2),

0.50 b = 5.5⇒ b = 11,

By substituting the value of b in equation (1),

We get, g = 8,

Thus, the number of green shirts, g = 8,

And, the number of blue shirts, b = 11

Answer 2

Answer: The answer is 8 green t-shirts.

Step-by-step explanation: Given that Tamera bought green and blue t-shirts as gifts. A green t-shirt costs $4.75, while a blue t-shirt costs $5.25. Tamera spent $95.75 on 19 t-shirts. We are to find the number of green t-shirts she bought.

Let 'g' represent the number of green t-shirts and 'b' represent the number of blue t-shirts. Then, we have

`g+b=19,\\\\4.75g+5.25b=95.75\\\\\Rightarrow 19x+21y=383..`

Multiplying the first equation by 19 and subtracting from the second equation, we have

`21b-19b=383-361\\\\\Rightarrow 2b=22\\\\\Rightarrow b=11.`

Therefore,

`x=19-b=19-11=8.`

Thus, there are 8 green t-shirts that Tamera bought.