Answer :
Certainly! Let's break down the problem and solve for the number of bars per person, denoted as [tex]\( a \)[/tex].
We start with the given equation:
[tex]\[ x = \frac{y \cdot z}{a} \][/tex]
where:
- [tex]\( x \)[/tex] is the number of people at the event,
- [tex]\( y \)[/tex] is the number of ice-cream bars per box,
- [tex]\( z \)[/tex] is the number of boxes,
- [tex]\( a \)[/tex] is the number of bars per person.
We need to isolate [tex]\( a \)[/tex] on one side of the equation to solve for it. Here are the steps to do that:
1. Multiply both sides of the equation by [tex]\( a \)[/tex] to eliminate the denominator on the right side:
[tex]\[ x \cdot a = y \cdot z \][/tex]
2. Next, divide both sides by [tex]\( x \)[/tex] to isolate [tex]\( a \)[/tex]:
[tex]\[ a = \frac{y \cdot z}{x} \][/tex]
So, the number of ice-cream bars available for each person, [tex]\( a \)[/tex], is given by:
[tex]\[ a = \frac{y \cdot z}{x} \][/tex]
Therefore, the formula to determine the number of bars per person is:
[tex]\[ \boxed{a = \frac{y \cdot z}{x}} \][/tex]
This tells us that to find out how many ice-cream bars each person will get, you simply multiply the number of bars per box by the number of boxes and then divide by the number of people.
We start with the given equation:
[tex]\[ x = \frac{y \cdot z}{a} \][/tex]
where:
- [tex]\( x \)[/tex] is the number of people at the event,
- [tex]\( y \)[/tex] is the number of ice-cream bars per box,
- [tex]\( z \)[/tex] is the number of boxes,
- [tex]\( a \)[/tex] is the number of bars per person.
We need to isolate [tex]\( a \)[/tex] on one side of the equation to solve for it. Here are the steps to do that:
1. Multiply both sides of the equation by [tex]\( a \)[/tex] to eliminate the denominator on the right side:
[tex]\[ x \cdot a = y \cdot z \][/tex]
2. Next, divide both sides by [tex]\( x \)[/tex] to isolate [tex]\( a \)[/tex]:
[tex]\[ a = \frac{y \cdot z}{x} \][/tex]
So, the number of ice-cream bars available for each person, [tex]\( a \)[/tex], is given by:
[tex]\[ a = \frac{y \cdot z}{x} \][/tex]
Therefore, the formula to determine the number of bars per person is:
[tex]\[ \boxed{a = \frac{y \cdot z}{x}} \][/tex]
This tells us that to find out how many ice-cream bars each person will get, you simply multiply the number of bars per box by the number of boxes and then divide by the number of people.