Question

Оля и Рита вместе собрали 36.7 кг помидоров . В ящике у Оли было на 8.7 кг помидоров меньше, чем в ящике у Риты. Сколько кг помидоров в ящике у каждой ?

Answer 1

X+y=36.7
x-y=8.7
y=x-8.7
x+x-8.7=36.7
2x=36.7+8.7
2x=45.4
x=45.4/2
x=22.7 кг рита
у=22,7-8,7=14 кг оля

Answer 2

Solution:

To solve this problem, we can set up a system of equations based on the given information and then solve for the weights of tomatoes in each box.

Let's denote: - x as the weight of tomatoes in Rita's box - y as the weight of tomatoes in Olga's box

We are given the following information: 1. Olga and Rita together collected 36.7 kg of tomatoes: - This can be represented as the equation: x + y = 36.7 [[1]]. 2. The weight of tomatoes in Olga's box was 8.7 kg less than in Rita's box: - This can be represented as the equation: y = x - 8.7 [[2]].

We can now solve these equations to find the weights of tomatoes in each box.

Calculation:

Substitute the value of y from the second equation into the first equation: x + (x - 8.7) = 36.7

Combine like terms: 2x - 8.7 = 36.7

Add 8.7 to both sides: 2x = 45.4

Divide by 2: x = 22.7

Now, substitute the value of x back into the second equation to find y: y = 22.7 - 8.7 y = 14

Answer:

So, the weight of tomatoes in Rita's box is 22.7 kg, and the weight of tomatoes in Olga's box is 14 kg.