Question

Tim was given a bag of carrots and ate one-third of the carrots before stopping as he was feeling sick. The next day he ate one third of the remaining carrots and the following day he ate one third of the remainder, before counting the carrots he had left which totaled eight. How many carrots was he given in the beginning?

Answer 1

216

Explanation:

Given,

$\frac{1}{ 3} x \times \frac{1}{3}x \times \frac{1}{3} x= 8$

To find,

x³

Procedure,

Since, every time 1/3 is divided, we get the solution by doing the opposite operation i.e., multiplication. We multiply 1/3x 3 times which equals 8. x³ is the answer we get.

Let the solution be x³

$\frac{1}{3} x \times \frac{1}{3} x \times \frac{1}{3} x = 8$

$(\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )x \times x \times x = 8$

$\frac{1}{27} {x}^{3} = 8$

$1 {x}^{3} = 8 \times 27$

${x}^{3} = 216$

x³= 216

Hope you will understand.

Answer 2

Answer:

Step-by-step explanation:

choices=18,21,24,27,30,33