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Bumek [7]
2 years ago
9

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 eac

h price?
Mathematics
1 answer:
o-na [289]2 years ago
8 0

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.

<h3>What is an expression?</h3>

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.

To know more about Expression follow

brainly.com/question/723406

#SPJ1

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Statement   {}                                                   Reason

1. a║b, c is a transversal   {}                             Given

2. ∠6 ≅ ∠2       {}                                              Corresponding angles theorem

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