Question

Three watchmen are protecting the fruits in a garden. A thief managed to sneak in and steal some guavas. On the way out, he was confronted by the three watchmen. The first two watchmen asked him to part with a 3rd of the fruits and one more each. The last asked him to part with a fifth of the mangoes and 4 more.The thief had no guavas left. How many guavas did he steal originally?
a)45
b)30
c)10
d)15
Please explain the answer

Answer 1

Answer:

15

this is the answer for this question

Answer 2

Answer:

He starts off by stealing 15 guavas.

Step-by-step explanation:

We are informed that a thief was able to enter covertly and take some guavas. The three watchmen confronted him as he was leaving.

The first two watchmen requested that he give them each a third of the fruits. The final asked him to give up four additional mangoes in addition to one-fifth of the total. The thief ran out of guavas.

Let's say he began by robbing the garden of 15 guavas. As we continue to deduct the guavas that were delivered to the watchmen, we will eventually reach a total of 0 guavas.

Therefore, assuming that there were 15 guavas stolen,

The first watchmen take a third of the fruits, then one more, so;

=15×$\frac{1}{3}$+1

=5+1=6 guavas

Thus, 15 - 6 = 9 because the guavas now belong to the robber.

One third of the fruits are taken by the second watchmen, plus one more, thus;

=9×$\frac{1}{3}$+1

=3+1=4 guavas

Thus, 9 - 4 Equals 5 because the guavas have since been stolen.

3rd watchmen take four more mangoes in addition to one-fifth of the mangoes, so;

=5×$\frac{1}{4}$+4

=1+4=5 guavas

The guavas have now left with the thief, therefore 5 - 5 = 0

Since we have already consumed all of our guavas, the robber originally stole 15 of them.

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