Answered

A potter sells small and large ceramic bowls at a craft fair on Saturday. The potter sells a total of 32 ceramic bowls at the craft fair and earns a total of $ 916 . If the small ceramic bowls cost $ 18 each, and the large ceramic bowls cost $ 35 each, exactly how many large ceramic bowls does the potter sell at the craft fair on Saturday?

Sagot :

The numbers of large bowl sold at the fair is 20

Data;

  • Total bowl sold = 32
  • Total amount made = $916
  • Cost of small ceramic bowl = $18
  • Cost large bowl = $35

System of Equation

To solve this problem, we need to write system of equations for this.

Let x represent the numbers of small ceramic bowl

let y represent the numbers of large ceramic bowl

[tex]x+y=32...eq (i)\\18x + 35y = 916 ...eq(ii)[/tex]

From equation (i), let's make x the subject of formula

[tex]x + y = 32\\x = 32 - y...eq(iii)[/tex]

Let's substitute equation (iii) into equation (ii)

[tex]18x+35y = 916\\x = 32 - y\\18(32 -y) + 35y = 916\\576- 18y + 35y = 916\\17y = 916 - 576\\17y = 340\\\frac{17y}{17} = \frac{340}{17}\\ y = 20[/tex]

The numbers of large bowl sold at the fair is 20

Learn more on system of equations here;

https://brainly.com/question/18841812

ID Other Questions