Question

Louise made some trail mix he makes four 2/3 cups of popcorn one and 1/4 cups of peanuts one and 1/3 cups of razors and 3/4 cup of sunflower seeds he gave five of his friends and equal amount of trail mix each how much did each friend get

Answer 1

Answer:

Amount of trial mix each friend will get  $\frac{8}{5}\ cups\ \ \ \ OR \ \ \ \ 1 \frac{3}{5}\ cups\ \ \ \ OR \ \ \ \ 1.6\ cups$

Step-by-step explanation:

Given:

Number of popcorn cups = $4\frac{2}{3}$

$4\frac{2}{3}$ can be rewritten as $\frac{14}{3}$

Number of popcorn cups = $\frac{14}{3}$

Number of peanut cups = $1\frac{1}{4}$

$1\frac{1}{4}$ can be rewritten as $\frac{5}{4}$

Number of peanut cups = $\frac{5}{4}$

Number of Razors cups = $1\frac{1}{3}$

$1\frac{1}{3}$ can be rewritten as $\frac{4}{3}$

Number of razor cups = $\frac{4}{3}$

Number of Sunflower cups = $\frac{3}{4}$

Number of friends = 5

We need to find the amount of trail mix each friend will get;

We will first find the Total amount of trial mix;

Total amount of trial mix is equal to sum of Number of popcorn cups and Number of peanut cups and Number of Razors cups and Number of Sunflower cups.

Framing in equation form we get;

Total Amount of trial mix = $\frac{14}{3}+\frac{5}{4}+\frac{4}{3}+\frac{3}{4}$

Taking LCM we get;

Total Amount of trial mix = $\frac{14\times 4}{3\times 4}+\frac{5\times 3}{4\times 3}+\frac{4\times 4}{3\times 4}+\frac{3\times 3}{4 \times 3}$

Total Amount of trial mix =$\frac{56}{12}+\frac{15}{12}+\frac{16}{12}+\frac{9}{12} = \frac{56+15+16+9}{12} = \frac{96}{12} =8$

Now The amount of trail mix each friend will get will be equal to Total Amount of trial mix divided by Number of friends.

Framing in equation form we get;

Amount of trial mix each friend will get  = $\frac{8}{5}\ cups = 1 \frac{3}{5}\ cups = 1.6\ cups$

Hence Amount of trial mix each friend will get  $\frac{8}{5}\ cups\ \ \ \ OR \ \ \ \ 1 \frac{3}{5}\ cups\ \ \ \ OR \ \ \ \ 1.6\ cups$