contestada

Logan and his children went into a movie theater and he bought $80.50 worth of drinks and candies. Each drink costs $4.50 and each candy costs $5. He bought a total of 17 drinks and candies altogether. Determine the number of drinks and the number of candies that Logan bought.

Respuesta :

Ashraf82

Logan bought 9 drinks and 8 candies

Step-by-step explanation:

Logan and his children went into a movie theater

  • He bought $80.50 worth of drinks and candies
  • Each drink costs $4.50 and each candy costs $5
  • He bought a total of 17 drinks and candies altogether

We need to find the number of drinks and the number of candies that

Logan bought

Assume that the number of drinks is x and the number of candies is y

∵ The number of drinks is x and the number of candies is y

∵ He bought a total of 17 drinks and candies altogether

∴ x + y = 17 ⇒ (1)

∵ Each drink costs $4.50

∵ Each candy costs $5

∵ He bought $80.50 worth of drinks and candies

∴ 4.5x + 5y = 80.50 ⇒ (2)

Now we have system of equations let us solve them

- Multiply equation (1) by -5 to eliminate y

∵ (-5)x + (-5)y = (-5)(17)

∴ -5x - 5y = -85 ⇒ (3)

Add equations (2) and (3)

∴ -0.5x = -4.5

- Divide each side by -0.5

∴ x = 9

Substitute x by 9 in equation (1)

∵ 9 + y = 17

- Subtract 9 from both sides

∴ y = 8

Logan bought 9 drinks and 8 candies

Learn more:

You can learn more about system of equations in brainly.com/question/6075514

#LearnwithBrainly

Otras preguntas