Question

A strawberry and banana juice blend is made with a ratio of strawberry to banana of 2:3. Fill in the table to show different proportional amounts. Amount of strawberry Amount of banana 1 b. Explain why these amounts are proportional.​

Answer 1

See Explanation

Explanation:

Given

Let

`S \to` Strawberry

`B \to` Banana

`S : B = 2 : 3`

Solving (a):

Complete the table

The table, to be complete, is not given; so, I will generate one myself.

`\begin{array}{cccccc}S & {2} & {3} & {4} & {5} & {6} \ \\ {B} & {3} & {4.5} & {6} & {7.5} & {9} \ \end{array}`

The table is generated as follows:

`S : B = 2 : 3`

Multiply by 1.5

`S : B = 2 * 1.5 : 3 * 1.5`

`S : B = 3 : 4.5`

Multiply by 2

`S : B = 2*2 : 3*2`

`S : B = 4 : 6`

And so on....

In summary, whatever factor is multiplied to S must be multiplied to B; in order to keep the ratio constant

Solving (b): Why the amount are proportion

Because the ratio is constant and it remains unchanged all through.