Question

Общая масса яблока и груши-425г, груши и апельсина-585г. Чему равна масса каждого из этих фруктов в отдельности, если вместе они весят-795г?

Answer 1

яблоко весит х

груша весит у

апельсин весит а

 

х+у=425

у+а=585

х+у+а=795

 

х=425-у

а=585-у

х+у+а=795

 

подставим два первых уравнения в третье

 

425-у+585-у+у=795

у+1010=795

у=215

 

х=425-215=210

а=585-215=370

 

Ответ: яблоко весит 210 г, груша - 215, апельсин - 370

Answer 2

Calculation of the Mass of Each Fruit

To find the mass of each fruit individually, we can set up a system of equations using the given information.

Let's assume the mass of the apple is represented by 'a', the mass of the pear is represented by 'p', and the mass of the orange is represented by 'o'.

From the given information, we have the following equations:

Equation 1: a + p = 425 (the mass of the apple and pear combined is 425g) Equation 2: p + o = 585 (the mass of the pear and orange combined is 585g) Equation 3: a + p + o = 795 (the mass of all three fruits combined is 795g)

To solve this system of equations, we can use substitution or elimination. Let's use the elimination method:

Subtracting Equation 1 from Equation 3, we get: (a + p + o) - (a + p) = 795 - 425 o = 370

Now, we can substitute the value of 'o' into Equation 2: p + 370 = 585 p = 215

Finally, we can substitute the values of 'p' and 'o' into Equation 1: a + 215 = 425 a = 210

Therefore, the mass of the apple is 210g, the mass of the pear is 215g, and the mass of the orange is 370g.

Please let me know if there's anything else I can help you with!