Matt bought some boards to build a wooden deck. Some of the boards were 4 ft long and some of the boards were 5 ft long. He bought 35 ft of boards altogether. How many boards altogether did Matt buy?

Since he bought a few of each length. The only combination that works is when he bought 5 of the 4 ft long board so 4×5=20. Than he bought 3 of the 5ft boards 3×5=15. 20+15=35 ft worth of boards.

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kumaripoojavt kumaripoojavt · Answer 2 · 2022-08-07T05:33:48+02:00

Matt brought total 8 boards out of which the 5 boards are of 4ft and 3 boards are of 5ft.

We have a guy named Matt who bought some boards to build a wooden deck. Some of the boards were 4 ft long and some of the boards were 5 ft long. He bought 35 ft of boards altogether.

We have to find out how many boards he bought all together.

What do you mean by the solution of a equation ?

The solution of an equation is the value at which the left hand side and right hand side of the equation equals to each other.

In the question, it is given that there are 4ft long and 5ft long boards and matt brought 35 ft of board all together.

Let us assume that the number of 4 ft boards he bought are = x and the number of 5ft boards be y, then according to question -

4x + 5y = 35

[tex]y = \frac{-4x + 35}{5} \\y=\frac{-4x}{5} + 7[/tex]

Now, all the points that lie on this line are the possible answers but the number of boards cannot be in decimal. Hence, the solution x = 5 and y=3, which will give us 4 x 5 + 5 x 3 which is equal to 35.

Hence, Matt brought 5 boards of 4ft and 3 boards of 5ft.

To solve more questions on linear equations in two variables, visit the link below -

https://brainly.com/question/22557080?referrer=searchResults

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