The answer is to the question is b. 55
Answer:
so the distance between the police and the library is 2x-3 where x is the distance between the police and fire and distance between the library and fire is 5 so
2x-3=5
2x=8
x=4
so C
Hope This Helps!!!
What fractions? I see nothing...Do you have the choices?
Answer:
9 bottles of soda and 7 bottles of juice
Step-by-step explanation:
Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.
1. Gabriel purchased 2 more bottles of soda than bottles of juice, then
![x=y+2](https://tex.z-dn.net/?f=x%3Dy%2B2)
2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.
Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.
In total, there are 35x+10y g of sugar.
All bottles collectively contain 385 grams of sugar, thus
![35x+10y=385](https://tex.z-dn.net/?f=35x%2B10y%3D385)
3. Solve the system of two equations:
![\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%3Dy%2B2%5C%5C%20%5C%5C35x%2B10y%3D385%5Cend%7Barray%7D%5Cright.)
Substitute the first equation into the second equation:
![35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9](https://tex.z-dn.net/?f=35%28y%2B2%29%2B10y%3D385%5C%5C%20%5C%5C35y%2B70%2B10y%3D385%5C%5C%20%5C%5C35y%2B10y%3D385-70%5C%5C%20%5C%5C45y%3D315%5C%5C%20%5C%5Cy%3D7%5C%5C%20%5C%5Cx%3D7%2B2%3D9)