How to do word problems where two quantities are unknown - Math

Since the pizza began as slices and there are now slices remaining, a total of slices were eaten (because ). Of the eaten pieces, it is stated that slice was eaten by Eileen. This means a total of slices were eaten by Roseanne and Sasha combined. To find exactly how many slices Sasha ate, use the fact that Roseanne ate twice as many slices as Sasha. Write and solve for in the following equation, where is the number of slices Sasha ate. Note that stands for the number of slices Roseanne ate, since she ate twice as many slices as Sasha.

slices

Since we are looking at a square, the formula for the area of a square is .

Therefore we need to know the length of each side.

Since this is a square fence, then each of the four sides will be equal.

The amount of fence that the farmer has in the problem will become the perimeter of our square.

Since when working with a square, for this problem .

Plug that into our original equation.

It really doesn't matter what and are. What matters is the ratio given to us, red: blue. Let's assume that he can only have whole shirts. That means that the minimum number of red shirts he can have is , and the minimum number of blue is , giving us a total of .

Remember, . If we look at the car going east, this would mean:

If we look at the car going west, then:

Therefore, we need to add the two distances to find the total distance between them.

First, let = speed of the helicopter, = speed of the wind, and = distance between city A and city B. Next, find the ratio of to . Traveling against the wind: . Traveling with the wind: . Finally, set the equations equal to one another: .

Simplify the equation: .

Since the pizza began as slices and there are now slices remaining, a total of slices were eaten (because ). Of the eaten pieces, it is stated that slice was eaten by Eileen. This means a total of slices were eaten by Roseanne and Sasha combined. To find exactly how many slices Sasha ate, use the fact that Roseanne ate twice as many slices as Sasha. Write and solve for in the following equation, where is the number of slices Sasha ate. Note that stands for the number of slices Roseanne ate, since she ate twice as many slices as Sasha.

slices

Since we are looking at a square, the formula for the area of a square is .

Therefore we need to know the length of each side.

Since this is a square fence, then each of the four sides will be equal.

The amount of fence that the farmer has in the problem will become the perimeter of our square.

Since when working with a square, for this problem .

Plug that into our original equation.

It really doesn't matter what and are. What matters is the ratio given to us, red: blue. Let's assume that he can only have whole shirts. That means that the minimum number of red shirts he can have is , and the minimum number of blue is , giving us a total of .

Remember, . If we look at the car going east, this would mean:

If we look at the car going west, then:

Therefore, we need to add the two distances to find the total distance between them.

First, let = speed of the helicopter, = speed of the wind, and = distance between city A and city B. Next, find the ratio of to . Traveling against the wind: . Traveling with the wind: . Finally, set the equations equal to one another: .

Simplify the equation: .

Since the pizza began as slices and there are now slices remaining, a total of slices were eaten (because ). Of the eaten pieces, it is stated that slice was eaten by Eileen. This means a total of slices were eaten by Roseanne and Sasha combined. To find exactly how many slices Sasha ate, use the fact that Roseanne ate twice as many slices as Sasha. Write and solve for in the following equation, where is the number of slices Sasha ate. Note that stands for the number of slices Roseanne ate, since she ate twice as many slices as Sasha.

slices

Since we are looking at a square, the formula for the area of a square is .

Therefore we need to know the length of each side.

Since this is a square fence, then each of the four sides will be equal.

The amount of fence that the farmer has in the problem will become the perimeter of our square.

Since when working with a square, for this problem .

Plug that into our original equation.

It really doesn't matter what and are. What matters is the ratio given to us, red: blue. Let's assume that he can only have whole shirts. That means that the minimum number of red shirts he can have is , and the minimum number of blue is , giving us a total of .

Remember, . If we look at the car going east, this would mean:

If we look at the car going west, then:

Therefore, we need to add the two distances to find the total distance between them.

First, let = speed of the helicopter, = speed of the wind, and = distance between city A and city B. Next, find the ratio of to . Traveling against the wind: . Traveling with the wind: . Finally, set the equations equal to one another: .

Simplify the equation: .

Since the pizza began as slices and there are now slices remaining, a total of slices were eaten (because ). Of the eaten pieces, it is stated that slice was eaten by Eileen. This means a total of slices were eaten by Roseanne and Sasha combined. To find exactly how many slices Sasha ate, use the fact that Roseanne ate twice as many slices as Sasha. Write and solve for in the following equation, where is the number of slices Sasha ate. Note that stands for the number of slices Roseanne ate, since she ate twice as many slices as Sasha.

slices

Since we are looking at a square, the formula for the area of a square is .

Therefore we need to know the length of each side.

Since this is a square fence, then each of the four sides will be equal.

The amount of fence that the farmer has in the problem will become the perimeter of our square.

Since when working with a square, for this problem .

Plug that into our original equation.

It really doesn't matter what and are. What matters is the ratio given to us, red: blue. Let's assume that he can only have whole shirts. That means that the minimum number of red shirts he can have is , and the minimum number of blue is , giving us a total of .

Remember, . If we look at the car going east, this would mean:

If we look at the car going west, then:

Therefore, we need to add the two distances to find the total distance between them.