$$ \begin{array}{c}5 \ s+a=120 \ 5 s+8 a=750\end{array} $$ Maria solved the system and found that 90 student tickets and 30 adult tickets

Question

UpStudy AI · Accepted Answer

Let's analyze the given system of equations step by step.

The equations provided are:

1. $$ s + a = 120 $$ (Equation 1)
2. $$ 5s + 8a = 750 $$ (Equation 2)

Where:
- $$ s $$ represents the number of student tickets.
- $$ a $$ represents the number of adult tickets.

### Step 1: Solve for one variable

From Equation 1, we can express $$ s $$ in terms of $$ a $$:

$$
s = 120 - a
$$

### Step 2: Substitute into the second equation

Now, we substitute $$ s $$ into Equation 2:

$$
5(120 - a) + 8a = 750
$$

### Step 3: Simplify the equation

Distributing the $$ 5 $$:

$$
600 - 5a + 8a = 750
$$

Combine like terms:

$$
600 + 3a = 750
$$

### Step 4: Solve for $$ a $$

Subtract $$ 600 $$ from both sides:

$$
3a = 150
$$

Now, divide by $$ 3 $$:

$$
a = 50
$$

### Step 5: Substitute back to find $$ s $$

Now that we have $$ a $$, we can find $$ s $$:

$$
s = 120 - 50 = 70
$$

### Conclusion

The solution to the system of equations is:

- $$ s = 70 $$ (student tickets)
- $$ a = 50 $$ (adult tickets)

It seems there was a misunderstanding in the initial claim of 90 student tickets and 30 adult tickets. The correct solution is 70 student tickets and 50 adult tickets.
There are 70 student tickets and 50 adult tickets.

\[ \begin{array}{c}5 \\ s+a=120 \\ 5 s+8 a=750\end{array} \] Maria solved the system and found that 90 student tickets and 30 adult tickets

Upstudy AI Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Algebra Questions