Question

Jeremiah's sister gave him a box of truffles for his birthday. The box contained 11/15 of

a pound of dark chocolate truffles, 1/3 of a pound of coconut truffles, 2/3 of a pound of
raspberry truffles, and 2/5 of a pound of mocha truffles. How many pounds of truffles did the
box contain in total?

Answer 1

The box contains 2 and 2/15 pounds of truffles in total.

Explanation:

To find the total amount of truffles in the box, we need to add the amounts of each type of truffle together.

The box contains:

- 11/15 pound of dark chocolate truffles

- 1/3 pound of coconut truffles

- 2/3 pound of raspberry truffles

- 2/5 pound of mocha truffles

To add fractions, we need a common denominator. In this case, the common denominator is 15. Let's convert each fraction to have a denominator of 15:

- Dark chocolate truffles: (11/15) * (15/15) = 11/15 pound

- Coconut truffles: (1/3) * (5/5) = 5/15 pound

- Raspberry truffles: (2/3) * (5/5) = 10/15 pound

- Mocha truffles: (2/5) * (3/3) = 6/15 pound

Now, let's add the fractions together:

11/15 + 5/15 + 10/15 + 6/15 = 32/15

So, the box contains a total of 32/15 pounds of truffles.

To simplify the fraction, we can divide the numerator by the denominator:

32 ÷ 15 = 2 remainder 2

Therefore, the box contains 2 and 2/15 pounds of truffles in total.

I hope this helps :)