Question

A light rye bread requires a ratio of wholemeal flour to plain flour of 4:3. A baker making a

large quantity of loaves uses 126 cups of plain flour. What is the total amount of flour used by the baker?

Answer 1

The baker used a total of 294 cups of flour, with a ratio of wholemeal flour to plain flour of 4:3, where 126 cups of plain flour were used.

Step-by-step explanation:

To solve the question asking for the total amount of flour used by the baker, we need to consider the given ratio of wholemeal flour to plain flour, which is 4:3. The baker used 126 cups of plain flour. To find out how many cups of wholemeal flour were used, we set up the ratio:

Wholemeal : Plain = 4 : 3

Let x represent the number of cups of wholemeal flour. The ratio can be written as:

4/3 = x / 126

Multiplying both sides by 126 to solve for x gives us:

x = (4/3) × 126

After calculation, we find that x equals 168 cups of wholemeal flour. To find the total amount of flour used, we add the cups of wholemeal flour to the cups of plain flour:

Total flour = Wholemeal flour + Plain flour

Total flour = 168 cups + 126 cups = 294 cups

Therefore, the baker used a total of 294 cups of flour.

Answer 2

The total amount used is

`294 \: cups`

Step-by-step explanation:

We were told that 126 cups of plain flour was used, therefore this is saying that

`(3)/(7) = 126`

Recall that from the ratio 4:3, three represents plain four, so 3/7 would be the fraction that depicts plain flour (we add the 4 and 3 to get 7). Since we know the value for plain flour all that is left to do is find the value for wholemeal flour.

`(4)/(7) = x`

4/7 represents the fraction for wholemeal flour, and since we do not know how much he used we will equate it to x. Therefore we know that:

`(3)/(7) = 126 \\ (4)/(7) = x`

We now cross multiply:

`(3)/(7)( x) = 126( (4)/(7)) \\(3)/(7) x = (504)/(7) \\ (3)/(7) x= 72 \\ x = (72)/( (3)/(7) ) \\ x = 72 * (7)/(3) \\ x= (504)/(3) \\ x = 168`

We add both the values that we got for plain flour and wholemeal flour, this will give us the total amount of flour used.

`168 + 126 = 294`