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Write System of Equations from Context

Write System of Equations from Context-example-1

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The system of equations is then: 70x + 60y = 1140 (total calories),y = 2x (twice as many mini hotdogs as pizza rolls)

Here's a system of equations that could be used to determine the number of pizza rolls in the combination meal and the number of mini hotdogs in the combination meal:

Let:

x be the number of pizza rolls

y be the number of mini hotdogs

The system of equations is then:

70x + 60y = 1140 (total calories)

y = 2x (twice as many mini hotdogs as pizza rolls)

We can solve for x and y using substitution or elimination. For example, using substitution, you can solve the second equation for y and substitute that value into the first equation.

Here's how to solve the system of equations using substitution:

1. Solve the second equation for y: y = 2x

2. Substitute this expression for y in the first equation: 70x + 60(2x) = 1140

3. Simplify and solve for x: 70x + 120x = 1140

4. 190x = 1140

5. x = 6

Now that you know x = 6, you can substitute that value back into the second equation to solve for y:

y = 2(6)

y = 12

Therefore, there were 6 pizza rolls and 12 mini hotdogs in the combination meal.

User Mikita Manko
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