Question

Гномы,работая в пещере до поздней ночи,отыскали в 6 раз или 15 алмазов больше,чем они нашли за всю прошлую неделю.Сколько теперь алмазов в запасах у гномов,если вчера утром у них было только 32 алмаза.

Answer 1

Пусть за неделю гномики отыскали Х алмазов.
Тогда:
6 * х = 15 + х
х = 3 (отыскали за неделю)
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6 * 3 = 18 или 3 + 15 = 18 (нашли за день, до поздней ночи)
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32 + 18 = 50 (сейчас алмазов в запасе)

Ответ: Гномики отыскали 50 алмазов.

Answer 2

1)15•6= 90(алмазов)
2)35+90=125(алмазов) теперь алмазов у гномов.

Answer 3

Calculation of the Number of Diamonds

To calculate the number of diamonds the dwarves have in their reserves, we need to determine the number of diamonds they found in the cave and compare it to the number they found in the previous week.

According to the information provided, the dwarves found 6 times or 15 diamonds more in the cave than they found in the previous week.

Let's denote the number of diamonds found in the previous week as x. Therefore, the number of diamonds found in the cave can be expressed as x + 15.

Since the dwarves found 6 times more diamonds in the cave, we can set up the following equation:

x + 15 = 6x

To solve this equation, we can subtract x from both sides:

15 = 5x

Then, we divide both sides by 5:

x = 3

Therefore, the number of diamonds found in the previous week (x) is 3.

To calculate the total number of diamonds in the dwarves' reserves, we add the number of diamonds found in the cave (x + 15) to the number of diamonds they had yesterday morning (32).

Hence, the total number of diamonds in the dwarves' reserves is:

32 + (3 + 15) = 32 + 18 = 50.

Therefore, the dwarves now have 50 diamonds in their reserves.