Question

Makoto likes to eat her trail mix piece by piece. For every five pieces of nuts she eats, she eats two pieces of candy. Which of the following could be the number of pieces of trail mix Makoto ate?

1) 10
2) 15
3) 20
4) 25

Answer 1

Makoto likes to eat her trail mix piece by piece and the ratio of 5 nuts to 2 candy. Options 2, 3, and 4 could be the number of pieces of trail mix Makoto ate.

Step-by-step explanation:

Makoto likes to eat her trail mix piece by piece. For every five pieces of nuts she eats, she eats two pieces of candy. To determine the number of pieces of trail mix Makoto ate, we need to find a number that satisfies the ratio of 5 pieces of nuts to 2 pieces of candy.

Let's check each option:

• Option 1: 10 pieces of trail mix. This would mean Makoto ate 2 sets of 5 nuts and 4 pieces of candy. The ratio is not satisfied, so this is not a valid option.
• Option 2: 15 pieces of trail mix. This would mean Makoto ate 3 sets of 5 nuts and 6 pieces of candy. The ratio is satisfied, so this could be a valid option.
• Option 3: 20 pieces of trail mix. This would mean Makoto ate 4 sets of 5 nuts and 8 pieces of candy. The ratio is satisfied, so this could be a valid option.
• Option 4: 25 pieces of trail mix. This would mean Makoto ate 5 sets of 5 nuts and 10 pieces of candy. The ratio is satisfied, so this could be a valid option.

Based on the given information, options 2, 3, and 4 could be the number of pieces of trail mix Makoto ate.