Question

[Image: 1 apple, 3 oranges for each of 5 steps on the slider]

Explore equivalent ratios by using the slider. Complete the sentences below.

The ratio of apples to oranges is 1 to ___.
For every __ apples, there are 6 oranges.
For every 4 apples, there are ___ oranges.
Apples are ___% of the total number of fruits.

Answer 1

The ratio of apples to oranges is 1 to 3.
For every 2 apples, there are 6 oranges.
For every 4 apples, there are 12 oranges.
Apples are 25% of the total number of fruits.

Answer 2

The ratio of apples to oranges is 1 to 3

For every 2 apples, there are 6 oranges.

For every 4 apples, there are 12 oranges.

Apples are 25% of the total number of fruits.

Explanation:

1 apple, 3 oranges for each of 5 steps on the slider

1 apple and 3 oranges, the ratio of 1 apple and 3 oranges is 1:3

For 1 apple, we have 3 oranges

Let x be the apple for 6 oranges . Make a proportion

`(1)/(3) =(x)/(6)`

Cross multiply it

`6=3x`

Divide both sides by 3

So x= 2

For every 2 apples, there are 6 oranges.

For 1 apple, we have 3 oranges

Let y be the number of oranges for 4 apples. Make a proportion

`(1)/(3) =(4)/(y)`, cross multiply it

`1y=12`

y=12

For every 4 apples, there are 12 oranges.

For 1 apple, we have 3 oranges, ratio is 1:4

The fraction is 1/4 that is 0.25

0.25 times 100= 25%

Apples are 25% of the total number of fruits.