Question

Makoto likes to eat her trail mix piece by piece. For every 5 pieces of nuts she eats, she eats 2 pieces of candy. Which of the following could be what Makoto eats from a bag of trail mix?

Answer 1

Answer:

10 pieces of nuts and 4 pieces of candy, and 45 pieces of nuts and 18 pieces of candy.

Step-by-step explanation:

Answer 2

As per the question,Makoto likes to eat 5 pieces of nuts for 2 pieces of candy.

Thus, the ratio of nuts and candies at which she likes to eat from a trail mix is

5:2

As the amount of any trail mix is mentioned here, I've to answer it superficially.

Let's assume, there are 'X' number of pieces in the trail mix.

Thus, total number of nuts + total number of candies = X

Let's assume, from the trail mix Makoto eats 5y numbers of nuts, which emplies that she will eat 2y number of candies(remember the ratio mentioned earlier).

Thus,

5y + 2y = X

or, 7y = X

or, y = X/7

Therefore, number of nuts she eats from the trail mix = 5(X/7)

Therefore, number of candies she eats from the trail mix = 2(X/7)