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Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. If she hiked a total of 90 miles, which equation can be used to find the number of times Maria hiked each trail?

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LordT

Answer: 90 – 10y = 5x

Step-by-step explanation: First, we take the unknowns, how many times she hiked each trail, and make them into an equation. Y will represent the number of times she hiked the 10 mile trail, and x will represent how many times she hiked the 5 mile trail. That gives us 10y & 5x. Second, we take the known, the total of 90 miles, and add it into our unknown number equation. We will start with the known, putting 90 first, then we will subtract the total miles from an unknown, which will equal the second unknown according to the question. This gives us 90 - 10y = 5x OR 90 - 5x = 10y.

ashishdwivedilVT

The equation that can be used to find the number of times Maria hiked each trail is 5x+10y = 90.

It is given that:

x represents the number of times she hiked the 5-mile trail.

y represents the number of times she hiked the 10-mile trail.

Total hike of 5-mile trials = 5x miles

Total hike of 10-mile trials = 10y miles

What is a linear equation of two variables?

An equation is said to be a linear equation in two variables if it is written in the form of ax + by + c=0. Here, a b and c should be real numbers. a and b should be non-zero.

As we know,

She hiked a total of 90 miles

i.e. 5x+10y = 90

Therefore, the equation that can be used to find the number of times Maria hiked each trail is 5x+10y = 90.

To get more about linear equations in two variables visit:

https://brainly.com/question/17286525

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