Question

в детском санатории Солнышко на полдник выдали 420 персиков;а в санатории Звездочка-375.В санатории Солнышко было на 15 детей больше;чем в Звездочке.сколько детей было в каждом санатории;если всем выдали персиков поровну?

Answer 1

420-375=45 персикво разница

45:15=3 персика одному ребёнку

420:3=140 детей в санатории солнышко

375:5=125 детей в санатории звёздочка

Answer 2

Calculating the Number of Children in Each Sanatorium

To solve this problem, we can use a simple algebraic approach. Let's denote the number of children in the "Solnyshko" sanatorium as S and the number of children in the "Zvezdochka" sanatorium as Z. We are given the following information: - In "Solnyshko," 420 peaches were distributed for a snack. - In "Zvezdochka," 375 peaches were distributed for a snack. - There were 15 more children in "Solnyshko" than in "Zvezdochka."

We can set up the following equations based on the given information: 1. S = Z + 15 (There were 15 more children in "Solnyshko" than in "Zvezdochka.") 2. 420 = S * x (Where x is the number of peaches each child in "Solnyshko" received.) 3. 375 = Z * x (Where x is the number of peaches each child in "Zvezdochka" received.)

Solving the Equations

We can solve these equations to find the values of S and Z.

From equation 2, we have: S = 420 / x

From equation 3, we have: Z = 375 / x

Substituting the value of S from equation 1 into the equation for S from equation 2, we get: 420 / x = (Z + 15)

Substituting the value of Z from equation 3 into the equation above, we get: 420 / x = (375 / x) + 15

Multiplying through by x to clear the fractions, we get: 420 = 375 + 15x

Rearranging the equation, we get: 15x = 420 - 375 15x = 45 x = 3

Now that we have found the value of x, we can substitute it back into the equations to find the values of S and Z.

From equation 2: S = 420 / 3 S = 140

From equation 3: Z = 375 / 3 Z = 125

Conclusion

Therefore, there were 140 children in the "Solnyshko" sanatorium and 125 children in the "Zvezdochka" sanatorium.