Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion?

Back

To set up a proportion, you can use the formula \( \frac{a}{b} = \frac{c}{d} \), where a, b, c, and d are numbers.

Front

What is cross-multiplication in proportions?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

What is the first step to solve the proportion \( \frac{3}{5} = \frac{x}{40} \)?

Back

The first step is to cross-multiply: 3 * 40 = 5 * x.

Front

What is the solution to the equation \( 5x = 120 \)?

Back

The solution is \( x = 24 \).

Front

How do you solve the proportion \( \frac{c}{10} = \frac{6}{15} \)?

Back

Cross-multiply to get \( 15c = 60 \), then solve for c.

Front

What is the value of c in the equation \( 60 = 15c \)?

Back

The value of c is 4.

Front

How do you find the total cost if George pays $3 for every 5 donuts he buys?

Back

Set up the proportion \( \frac{3}{5} = \frac{x}{25} \) and solve for x.

Front

What is the total cost for 25 donuts if the cost is $3 for 5 donuts?

Back

The total cost is $15.

Front

What is the equation used to solve \( \frac{12}{8} = \frac{x}{54} \)?

Back

The equation is \( 8x = 432 \).