To make muffins, Mrs Chan mixed 3 cups of flour with every cup of milk.

(a) What is the ratio of the number of cups of flour to the total number of cups of flour and milk?

(b) What proportion of the mixtures is milk?

(c) If Mrs Chan used a total of 20 cups of flour and milk, how many cups of milk did she use?

a) 3: 1

b) 1/4
c) 20/4 = 5
So 15 flour, 5 milk
because every 3, you get one

(a) Well, mixing 3 cups of flour with every cup of milk leads us to a floury situation. The ratio of cups of flour to the total number of cups is 3:4. So, for every 3 cups of flour, we have a total of 3+1=4 cups of flour and milk.

(b) Ah, the proportion of the mixture that is milk. Imagine this mixture as a comedy club, and the milk is the headlining act. Since we have 3 cups of flour for every cup of milk, the proportion of milk in the mixture will be 1 out of 3+1, or 1/4.

(c) If Mrs. Chan used a total of 20 cups of flour and milk, we can have a mathematical circus to find out how many cups of milk she used. If the ratio of flour to the total is 3:4, then we can say that 3/4 of 20 cups is flour. Cross-multiplying, we have 4 * (3/4) * 20 = 15 cups of flour. Therefore, she used 20 - 15 = 5 cups of milk. Bravo to Mrs. Chan and her baking skills!

(a) The ratio of the number of cups of flour to the total number of cups of flour and milk is 3:4.

To determine the ratio, add the number of cups of flour and milk together: 3 + 1 = 4
So, the ratio is 3 cups of flour : 4 cups of flour and milk.

(b) The proportion of the mixture that is milk can be calculated by dividing the number of cups of milk by the total number of cups of flour and milk.

Since the ratio of flour to flour and milk is 3:4, the proportion of milk is 4 / (3 + 4) = 4/7.

Therefore, 4/7 of the mixture is milk.

(c) If Mrs Chan used a total of 20 cups of flour and milk, we can use the ratio to determine the number of cups of milk.

Since the ratio of flour to flour and milk is 3:4, we can set up the equation:

3 / 4 = x / 20

To solve for x (the number of cups of milk), cross-multiply:

3 * 20 = 4 * x
60 = 4x

Divide both sides by 4 to isolate x:

x = 60 / 4
x = 15

Therefore, Mrs Chan used 15 cups of milk.

To find the answers to these questions, we need to understand the relationship between the cups of flour and milk in the mixture.

According to the information given, Mrs. Chan mixed 3 cups of flour with every cup of milk. This means that for every cup of milk, she used 3 cups of flour.

(a) The ratio of the number of cups of flour to the total number of cups of flour and milk can be calculated by dividing the number of cups of flour by the sum of the cups of flour and milk.

Let F be the number of cups of flour and M be the number of cups of milk.

The ratio is given by F : (F + M).

Since for every cup of milk, 3 cups of flour are used, we can substitute F = 3M into the ratio:

Ratio = (3M) : ((3M) + M)

Simplifying the ratio, we get:

Ratio = 3M : 4M

Therefore, the ratio of cups of flour to the total number of cups of flour and milk is 3 : 4.

(b) To find the proportion of the mixture that is milk, we can divide the number of cups of milk by the total number of cups of flour and milk.

Proportion = M / (F + M)

Again, substituting F = 3M into the proportion:

Proportion = M / (3M + M)

Simplifying the proportion, we get:

Proportion = M / 4M

Therefore, the proportion of the mixture that is milk is 1 : 4.

(c) If Mrs. Chan used a total of 20 cups of flour and milk, we can set up an equation to solve for the number of cups of milk.

The equation is:

F + M = 20

Since F = 3M, we can substitute:

3M + M = 20

Combining like terms, we get:

4M = 20

Dividing both sides by 4, we find:

M = 5

Therefore, Mrs. Chan used 5 cups of milk.