Question

The gym has a total of 25 treadmills and stationary bikes. there are seven more stationary bikes than treadmills.

Answer 1

The system of equations is $t+b=25\\b=t+7$

Step-by-step explanation:

We can answer this question as follows.

First of all, we call:

t = number of treadmills

b = number of stationary bikes

The two conditions that we have can be translated into equations as follows:

- The gym has a total of 25 treadmills and stationary bikes:

$t+b=25$

- There are seven more stationary bikes than treadmills:

$b=t+7$

So the system of equations to solve is

$t+b=25\\b=t+7$

We now solve it in the following way: first, we rewrite the second equation by bringing t on the left side,

$t+b=25\\b-t=7$

Now we add the 1st equation to the 2nd equation:

$(t+b)+(b-t)=25+7\\t+b+b-t=32\\2b=32\\b=\frac{32}{2}=16$

And therefore,

$t+b=25\\t+16=25\\t=25-16=9$

So, there are 16 stationary bikes and 9 treadmills.

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