Question

POSSIBLE POINTS: 100The Cy-Ridge Student Council sold t-shirts for homecoming. There were three types of shirts; v-neck (v) for $25, scoop-neck (s) for 258, and long sleeve (1)for $30. They raised $4930 by selling all of the shirts. The number of v-neck shirts sold was twice that of the number of long sleeved shirts sold. Thenumber of scoop neck shirts sold is 36 more than the sum of the other two. Select all answer choices that represent the system of equations.

Answer 1

To solve the problem, we need to set up a system of equations based on the given information and then solve for the variables.

Step-by-step explanation:

Let's define the variables:

v = number of v-neck shirts sold

s = number of scoop-neck shirts sold

1 = number of long sleeve shirts sold

We have the following information:

v-neck shirts cost $25, scoop-neck shirts cost $258, and long sleeve shirts cost $30.

The total amount raised was $4930.

The number of v-neck shirts sold was twice that of the number of long sleeve shirts sold.

The number of scoop neck shirts sold is 36 more than the sum of the other two.

Based on this information, we can set up the following system of equations:

v + s + 1 = 111

25v + 258s + 30(1) = 4930

2(1) = v

s = 36 + (v + 1)

Answer 2

To answer this, we've to sum all possible shirts sold to arrive at $4930,

`\begin{gathered} 25v+25s+30l=4930 \\ v=2l,\text{ } \\ s=v+l+38 \\ s=2l+l+38 \\ s=3l+38 \\ \text{Substituting into the equation for v and s in terms of l, we have;} \end{gathered}`
`\begin{gathered} 25(2l)+25(3l+38)+30l=4930 \\ 50l+75l+950+30l=4930 \\ 155l+950=4930 \\ 155l=4930-950 \\ 155l=3980 \end{gathered}`

So, we will need to look at the options to rightly arrive at the expression

that will accurately interpret our model for the revenue generated from the sales of the shirts.