A nickel is equal to 5 cents or 0.05 dollars.
A quarter is equal to 25 cents or 0.25 dollars.
Let number of nickels be = n
Let number of quarters be = q
...........(1)
As it is given, there are 3 more nickels than quarters so equation becomes,
................(2)
Plug in the value of 'n' from (2) in (1)
![0.05(q+3)+0.25q=2.85](https://tex.z-dn.net/?f=0.05%28q%2B3%29%2B0.25q%3D2.85)
= ![0.05q+0.15+0.25q=2.85](https://tex.z-dn.net/?f=0.05q%2B0.15%2B0.25q%3D2.85)
![0.30q=2.70](https://tex.z-dn.net/?f=0.30q%3D2.70)
![q=9](https://tex.z-dn.net/?f=q%3D9)
As
we get, ![n=9+3=12](https://tex.z-dn.net/?f=n%3D9%2B3%3D12)
Hence, there are 12 nickels and 9 quarters.
The speed of a bus that travels 250 km in 2 hours is 145 because you have to divide 250 km and 2 hours which gives 145.
Hope this helps:)
Answer:
The amount of punch mix to use is 3/4 gallons
Step-by-step explanation:
Let
x ----> parts of water
y ---> parts of punch mix
we know that
![\frac{x}{y} =\frac{8}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%3D%5Cfrac%7B8%7D%7B1%7D)
----> equation A
That means ---> The parts of water is 8 times the parts of punch mix
If we have 6 gal of water
then
![x=6\ gal](https://tex.z-dn.net/?f=x%3D6%5C%20gal)
substitute in the equation A
![6=8y](https://tex.z-dn.net/?f=6%3D8y)
solve for y
![y=\frac{6}{8}\ gal](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B6%7D%7B8%7D%5C%20gal)
Simplify
![y=\frac{3}{4}\ gal](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7D%5C%20gal)
therefore
The amount of punch mix to use is 3/4 gallons
Answer:
The lcm of 28 is 4
The lcm for 32 is also 4
Step-by-step explanation: