Question

Nathan went down to candy world and bought 9 2/3 pounds of lemon drops for him. Nathen gave 5/8 of lemon drops to Darren and Darren gave 3/5 of his lemon drops to mitchel. Mitchel wanted to know how many Pounds of lemon drop did he receive

Answer 1

Answer:   $3\dfrac{5}{8}\text{ pounds}$

Step-by-step explanation:

Given : Total amount of candies bought by Nathan$=9\dfrac{2}{3}\text{ pounds}=\dfrac{3\times9+2}{3}\text{ pounds}=\dfrac{29}{3}\text{ pounds}$

Since Nathen gave $\dfrac{5}{8}$ of lemon drops to Darren , the amount of lemon drops Darren got = $\dfrac{5}{8}\times\dfrac{29}{3}=\dfrac{145}{24}\text{ pounds}$

Also, since Darren gave $\dfrac{3}{5}$ of his lemon drops to Mitchel.

The amount of lemon drops Mitchel got = $\dfrac{3}{5}\times\dfrac{145}{24}=\dfrac{29}{8}=3\dfrac{5}{8}\text{ pounds}$

Hence, The amount of lemon drops Mitchel got = $3\dfrac{5}{8}\text{ pounds}$

Answer 2

Answer:

$3\frac{5}{8}$ pounds.

Step-by-step explanation:

We have been given that Nathan went down to candy world and bought 9 2/3 pounds of lemon drops for him. Nathen gave 5/8 of lemon drops to Darren.

Let us find amount of lemon that Darren will receive by calculating 5/8 of 9 2/3.

$\text{Amount of lemon drops that Darren will receive}=9\frac{2}{3}\times \frac{5}{8}$

Convert mixed fraction into improper fraction:

$\text{Amount of lemon drops that Darren will receive}=\frac{29}{3}\times \frac{5}{8}$

$\text{Amount of lemon drops that Darren will receive}=\frac{29\times 5}{3\times 8}$

$\text{Amount of lemon drops that Darren will receive}=\frac{145}{24}$

We are told that Darren gave 3/5 of his lemon drops to Mitchel. Let us find 3/5 of 145/24 to calculate pounds of lemon drops that Mitchel will receive.

$\text{Amount of lemon drops that Mitchel will receive}=\frac{145}{24}\times \frac{3}{5}$

$\text{Amount of lemon drops that Mitchel will receive}=\frac{29}{8}\times \frac{1}{1}$

$\text{Amount of lemon drops that Mitchel will receive}=\frac{29}{8}$

$\text{Amount of lemon drops that Mitchel will receive}=3\frac{5}{8}$

Therefore, Mitchel will get $3\frac{5}{8}$ pounds of lemon drops.