Matthew makes a drink using lemonade and orange juice. 210ml of his drink was lemonade
140ml of his drink was orange juice
Rosie makes more of the drink for a party using the same ratio of lemonade to orange juice.
Rosie uses 6 litres of lemonade.
How much orange juice does Rosie use?

4

Step-by-step explanation:

Matthew makes a drink using lemonade and orange juice.

210ml of his drink was lemonade

140ml of his drink was orange juice

Based on the above, we can see that the ratio of lemonade to orange juice is 3:2. 70 is a common factor to 210 and 140. 210/70 = 3 while 140/70 = 2.

Therefore, since Rosie uses 6 litres of lemonade, the amount of orange juice that Rosie use will be:

= 6 × 3/2

= 4

Rosie needs 4 litres of orange juice.

step-by-step explanation:

abc

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.