Question

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

Answer 1

Answer:

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

$\frac{3}{7} = 126$

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.

$\frac{4}{7} = x$

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:

$\frac{3}{7} = 126 \\ \frac{4}{7} = x$

We now cross multiply:

$\frac{3}{7}( x) = 126( \frac{4}{7}) \\\frac{3}{7} x = \frac{504}{7} \\ \frac{3}{7} x= 72 \\ x = \frac{72}{ \frac{3}{7} } \\ x = 72 \times \frac{7}{3} \\ x= \frac{504}{3} \\ x = 168$

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

$168 + 126 = 294$