Question

Две белки, заготавливая запасы на зиму, принесли в дупло орехи и грибы . Орехов оказалось на 14 больше ,чем грибов. Первая белка принесла 20 грибов и орехов, а вторая 32. Сколько грибов и сколько орехов принесли в дупло обе белки?

Answer 1

20+32=52 всего орехов и грибов
52-14=38 - это поровну
38:2=19 грибов
19+14=33 ореха

Answer 2

Problem Analysis

Two squirrels are storing supplies for the winter in a tree hollow. They bring nuts and mushrooms. There are 14 more nuts than mushrooms. The first squirrel brings a total of 20 nuts and mushrooms, while the second brings 32. We need to find out how many nuts and mushrooms each squirrel brought.

Solution

Let's denote the number of nuts brought by the first squirrel as n1 and the number of mushrooms as m1. Similarly, for the second squirrel, we denote the number of nuts as n2 and the number of mushrooms as m2.

Given: - n1 + m1 = 20 - n2 + m2 = 32 - n1 - m1 = 14

We can solve these equations to find the values of n1, m1, n2, and m2.

Solving the Equations

We can solve the system of equations using the substitution method.

From the equation n1 - m1 = 14, we can express n1 in terms of m1 as n1 = m1 + 14.

Substitute this value of n1 into the equation n1 + m1 = 20: (m1 + 14) + m1 = 20 2m1 + 14 = 20 2m1 = 20 - 14 2m1 = 6 m1 = 3

Now that we have the value of m1, we can find n1: n1 = m1 + 14 n1 = 3 + 14 n1 = 17

Similarly, we can find the values of n2 and m2: n2 = m2 + 14 n2 + m2 = 32 m2 + 14 + m2 = 32 2m2 + 14 = 32 2m2 = 32 - 14 2m2 = 18 m2 = 9

n2 = m2 + 14 n2 = 9 + 14 n2 = 23

Conclusion

So, the first squirrel brought 17 nuts and 3 mushrooms, while the second squirrel brought 23 nuts and 9 mushrooms.

Therefore, the first squirrel brought 17 nuts and 3 mushrooms, and the second squirrel brought 23 nuts and 9 mushrooms.