Question

I need to ask you a math question but the question is to big to type I was wondering if I could send you a picture of the math question and we can move on from their?

Answer 1

Let be "f" the number five-point problems on the test and "t" the number of two-point problems on the test.

Based on the information given in the exercise, you can set up the following System of equations:

`\begin{cases}5f+2t=100 \\ f+t=38\end{cases}`

You can solve the System of equations using the Substitution method:

1. Solve for "t" from the second equation:

`t=38-f`

2. Substitute the equation obtained in step 1 into the first equation and solve for "f":

`\begin{gathered} 5f+2t=100 \\ 5f+2(38-f)=100 \\ 5f+76-2f=100 \\ 3f=100-76 \\ f=(24)/(3) \\ \\ f=8 \end{gathered}`

3. Substitute the value of "f" into the equation found in step 1 and evaluate, in order to find the value of "t":

`\begin{gathered} t=38-f \\ t=38-8 \\ t=30 \end{gathered}`

The answer is:

- There are 8 five-point problems.

- There are 30 two-point problems.