The gym has 4 times as many baseballs than basketballs the gym has 25 total balls how many more baseballs than basket balls does
the gym have
1 answer:
Let
be the number of baseball and
be the number of basket ball.
We have the following system:
![\begin{cases}b=4k\\b+k=25\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Db%3D4k%5C%5Cb%2Bk%3D25%5Cend%7Bcases%7D)
Substitute the first equation into the second:
![4k+k=25 \iff 5k=25 \iff k=5](https://tex.z-dn.net/?f=4k%2Bk%3D25%20%5Ciff%205k%3D25%20%5Ciff%20k%3D5)
which yields
![b=4k=4\cdot 5 = 20](https://tex.z-dn.net/?f=b%3D4k%3D4%5Ccdot%205%20%3D%2020)
So, there are 20 baseballs and 5 basketballs, meaning that there are 15 more baseballs than basketballs.
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