Ratio Practice Problems - Master Ratios and Proportions

To find the ratio of apples to oranges, divide the number of apples by the number of oranges.
Therefore, $\text{apples:oranges} = \frac{15}{10} = 3:2$.
Thus, the ratio of apples to oranges is $3:2$.

To find the ratio of flour to sugar, divide the amount of flour by the amount of sugar.
Thus, we have $\text{flour:sugar} = \frac{400}{200} = 2:1$.
Therefore, the ratio of flour to sugar is $2:1$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the number of fingers, which is typically 10.
• Step 2: Identify the number of toes, which is also typically 10.
• Step 3: Write the ratio of fingers to toes.
• Step 4: Simplify the ratio.

Now, let's work through each step:
Step 1: The typical number of fingers on a human is $10$.
Step 2: The typical number of toes on a human is $10$.
Step 3: The ratio of fingers to toes is $10:10$.
Step 4: Simplifying this ratio $10:10$ gives us $1:1$.

Therefore, the solution to the problem is $1:1$, which corresponds to answer choice 4.

The total volume of water that fills the tank is $20$ liters over $5$ minutes. The flow rate is given by the volume divided by time:
$\text{Flow Rate} = \frac{\text{Total Volume}}{\text{Time}} = \frac{20}{5} = 4$
Thus, the water flows at a rate of $4$ liters per minute.

To solve this problem, let's determine how many cups of flour are needed to make six cookies using proportions.

Initially, we know that 1 cup of flour produces 3 cookies. Our task is to determine how many cups ($x$) will be necessary for 6 cookies.

We can set up a proportion based on the information given:

To solve for $x$ (the unknown number of cups), we cross-multiply:

This simplifies to:

Next, divide both sides of the equation by 3 to isolate $x$:

Therefore, 2 cups of flour are needed for six cookies.

The solution to the problem is 2 cups.