Steph makes scones in three flavours: cheese, fruit and plain. She makes:

• 4 times as many fruit scones as cheese scones,

• 3 times as many plain scones as cheese scones.

She sells each scone for the same price.
She makes a total of £96 from the sale of all the scones.

How much does she make from the sale of the plain scones?

The amount she makes from the sale of plain scones is £36

Step-by-step explanation:

The number of flavors of scones Steph makes =

The number of fruit scones she makes = 4 × The number of cheese scones she makes

The number of plain scones she makes = 3 × The number of cheese scones she makes

The price at which she sells the cheese scones = The price at which she sells the fruit scones

The price at which she sells the cheese scones = The price at which she sells the plain scones

The total amount she makes = £96

Let, 'x', represent the number of cheese scones she makes

Therefore, we have;

The number of fruit scones she makes = 4·x

The number of plain she makes = 3·x

∴ The total number of scones she makes = 4·x + 3·x + x = 8·x

The total number of scones she makes = 8·x

The total amount she makes from selling the 8·x scones she makes = £96

∴ 8·x = £96

x = £96/8 = £12

The amount she makes from the sale of 'x' number of scones = £12

The number of plain scones she makes = 3·x

From the sale of '3·x' number of plain scones, she makes = £12 × 3 = £36

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3