32 students choose a favorite topping for their slices.
Let x be the total number of students.
1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.
We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x
We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x
Combining like terms:
7/8x+4=x
Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x
Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
1 person has 2/10 and there are 5 people, so you add 2/10 per person.
1-2/10
2- 4/10
3- 6-10
<span>4- 8-10
</span>5-10/10
The answer is 0, there are no pieces left.<span />
Next time please indicate which problem you want to work on.
One example of an equation with variables present on both sides is
y-b = m(x-a). Given the slope of a line and one point (a,b) through which the line passes, you can come up with an equation of the line.
Or, given the numeric value of y-b and that of x-a, you could obtain the slope of the line thru the points (x,y) and (a,b).
Answer:
10 quarters and 15 dimes
Step-by-step explanation:
25 = Quarters + Dimes
Total worth = $4.00 = 0.25* Quarter + 0.1*Dimes
so...
25 = Q + D , D = 25 - Q
4 = 0.25*Q + 0.1 * (25 - Q)
4 = 0.25 * Q + 2.5 - 0.1*Q
1.5 = 0.15Q
Q = 10
D = 15
