Final answer:
To find out how long it will take Kevin to eat 1 full jar of M&Ms, we can set up and solve a proportion. Kevin can eat 1/3 of a jar in 4/5 of a day, so we can set up the proportion 1/3 / 4/5 = 1 / x. Solving for x, we find that it will take Kevin approximately 2.4 days to eat 1 full jar of M&Ms.
Step-by-step explanation:
To find out how long it will take Kevin to eat 1 full jar of M&Ms, we need to determine how many times he can eat 1/3 of a jar in 4/5 of a day. Let's set up a proportion:
- Kevin eats 1/3 of a jar in 4/5 of a day, which we'll represent as 1/3 / 4/5.
- To find how long it will take him to eat 1 full jar, we'll represent it as 1 / x, where x is the number of days.
Our proportion becomes:
1/3 / 4/5 = 1 / x
To solve for x, we can multiply both sides of the equation by the reciprocal of 4/5, which is 5/4.
1/3 * 5/4 = 1 / x
Simplifying, we get:
5/12 = 1 / x
To find x, we can take the reciprocal of both sides:
x = 12/5 = 2.4
Therefore, it will take Kevin approximately 2.4 days to eat 1 full jar of M&Ms.