Question

The total cost of 20 boards is $166. one size costs $6.50, and the second size costs $9.50. how many boards are purchased at each price?

Answer 1

The number of the board's price of $6.50 will be 12 and the number of the boards for the price of $9.50 will be 8.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

Given that:-

The total cost of 20 boards is $166. one size costs $6.50, and the second size costs $9.50.

Let the number of the boards for the price of $6.50 is x and for $9.50 is y. So the expression will be given as:-

6.50x + 9.5 y = 166

x + y = 20

Put x = 20 - y

6.50( 20 - y) + 9.5y = 166

130 - 6.50y + 9.50y = 166

3y = 166 -30

3y = 36

y = 12

Now the value of x will be:-

x = 20 - y = 20 - 12 = 8

Therefore the number of the board's price of $6.50 will be 12 and the number of the boards for the price of $9.50 will be 8.

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