Mathematics, 18.01.2020 05:31 Morghurley2000

At a eating contest, andy ate 5 more than barry, while carl ate 10 less than barry. if the three ate a total of 103 hot dogs, how many did each eat?

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Answer from: ineedhelpwhomework

Barry ate 36 hot dogs.

Andy at 36+5 = 41 hot dogs.

Carl ate 36-10 = 26 hot dogs.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of hot dogs that Barry ate.

y is the number of hot dogs that Andy ate.

z is the number of hot dogs that Carl ate.

The three ate a total of 103

So x + y + z = 103

Andy ate 5 more than Barry

So y = x + 5

Carl ate 10 less than Barry.

So z = x - 10

How many did each eat?

x + y + z = 103

x + x + 5 + x - 10 = 103

3x = 108

x = 36

Barry ate 36 hot dogs.

Andy at 36+5 = 41 hot dogs.

Carl ate 36-10 = 26 hot dogs.

Answer from: 21vdawson

Andy ate 41 hot dogs.

Barry ate 36 hot dogs.

Carl ate 26 hot dogs.

Step-by-step explanation:

Let x represent the number of hot dogs that Andy ate at the eating contest.

Let y represent the number of hot dogs that Barry ate at the eating contest.

Let z represent the number of hot dogs that Carl ate at the eating contest.

At the eating contest, Andy ate 5 more than Barry, this means that

x = y + 5

Carl ate 10 less than Barry. This means that

z = y - 10

If the three ate a total of 103 hot dogs, it means that

x + y + z = 103 - - - - - - - - -1

Substituting x = y + 5 and z = y - 5 into equation 1, it becomes

y + 5 + y + y - 10 = 103

3y = 103 + 10 - 5 = 108

y = 108/3 = 36

x = y + 5 = x = 36 + 5 = 41

z = y - 10 = z = 36 - 10 = 26

Answer from: Quest

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

Answer from: Quest

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation:

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At a eating contest, andy ate 5 more than barry, while carl ate 10 less than barry. if the three ate...