MATH SOLVE

2 months ago

Q:
# 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.

Accepted Solution

A:

Logan bought 9 drinks and 8 candiesStep-by-step explanation:Logan and his children went into a movie theaterHe bought $80.50 worth of drinks and candiesEach drink costs $4.50 and each candy costs $5He bought a total of 17 drinks and candies altogetherWe need to find the number of drinks and the number of candies thatLogan boughtAssume 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 = 9Substitute x by 9 in equation (1)∵ 9 + y = 17- Subtract 9 from both sides∴ y = 8Logan bought 9 drinks and 8 candiesLearn more:You can learn more about system of equations in brainly.com/question/6075514#LearnwithBrainly