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Darian and Kyle went to the Cinema and purchased nachos and chocolates. Kyle purchased two nachos and one chocolate ,while Darian purchased one more nachos and two more chocolates and paid a total of $45. How much did Kyle pay if the cost of the nachos was twice the cost of the chocolate?

please show working :)


Sagot :

The amount of money Kyle paid is $25.

Determine the price of nachos and chocolates

Two simultaneous equations can be derived from the question:

3n + 3c = $45 equation 1

n = 2c equation 2

Where:

  • n = price of nachos
  • c = price of chocolate

In order to determine the price of chocolates, please substitute for n in equation 1.

3(2c) + 3c = $45

6c + 3c = $45

9c = $45

c = $45/9 = $5

In order to determine the price of nachos, please substitute for c in equation 2:

n = 2($5)

n = $10

Amount Kyle paid

2($10) + $5

$20 + $5

= $25

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552