## Nicholas goes to the market. He purchased some plates and cups for \$60. He purchased plates for \$24. He also bought 2 cups, one for each of

Question

Nicholas goes to the market. He purchased some plates and cups for \$60. He purchased plates for \$24. He also bought 2 cups, one for each of his children. Both cups cost the same amount. Write an equation to help determine the price of one cup.

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2 weeks 2021-09-10T21:12:13+00:00 2 Answers 0

y+12=30

The cost is \$18 per cup

Step-by-step explanation:

This is a word problem leading to linear equation

Let the prize of plates be x

Let the prize cups be y

We can now express the problem Mathematically as

x+2y= 60

24+2y= 60

We can arrange the equation as

2y+24= 60

Dividing through by 2

y+12=30

The equation to help determine the price of one cup is y+12=30

We can solve for y

y= 30-12

y= 18

A cup cost \$18

2. Answer: 60 = 2x + 24

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given, in the form:

y = ax + b

Where y is the total cost of the purchase (60), b is the cost of the plates (24) , a is the number of cups (2), and x is the price of each cup.

Replacing with the values given:

60 = 2x + 24

Feel free to ask for more if needed or if you did not understand something.