Question

For every 6 litres of fruit juice, there are 18 litres of lemonade. If there's 5 litres of fruit juice, how many litres of lemonade are there?

a) 15 litres
b) 9 litres
c) 12 litres
d) 6 litres

Answer 1

To find the amount of lemonade corresponding to 5 litres of fruit juice based on the given ratio, we set up a proportion and solve for x, concluding that there are 15 litres of lemonade for 5 litres of fruit juice.

Step-by-step explanation:

The question asks us to find out how many litres of lemonade there are, given a certain ratio to fruit juice. We have a ratio of 6 litres of fruit juice to 18 litres of lemonade. To find the answer, we can set up a proportion. If there are 5 litres of fruit juice, the proportion would be 6 litres of fruit juice / 18 litres of lemonade = 5 litres of fruit juice / x litres of lemonade. We then cross-multiply and solve for x, which represents the litres of lemonade.

First, multiply 6 by x to get the equation 6x = 18 × 5. Then, solve for x which gives us x = (18 × 5) / 6. After calculating, we find that x equals 15, so there would be 15 litres of lemonade for 5 litres of fruit juice. Thus, the correct answer is a) 15 litres.