Answer: x=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(6x+5)=94
(2)(6x)+(2)(5)=94(Distribute)
12x+10=94
Step 2: Subtract 10 from both sides.
12x+10−10=94−10
12x=84
Step 3: Divide both sides by 12.
12x
12
=
84
12
x=7
For this case, the first thing we must do is define variables:
x: number of quarters
y: number of nickels
We now write the system of equations:
x + y = 68
0.25x + 0.05y = 13.40
Solving the system we have:
x = 50
y = 18
Answer:
they have:
quarters = 50
nickels = 18
= 2^-16 * 3^10 * 3^-8 * 3^-12 * 2^28
= 2^(-16 + 28) * 3^(10 - 8 - 12)
= 2^12 * 3^-10
= 2^12 / 3^10
You can set this up as an algebraic equation using the ratio:

=

where x = number of skiers
Cross multiply:
x + 1250 = 2x
Solve for x:
-x = -1250
x=1250
To find the number of snowboarders, add 1250.
1250 + 1250 = 2500
1250 skiers and 2500 snowboarders bought season passes.
8.2 is the answer to your question