Question

Марина иЛиза собирали груши. Число собранных ими груш на 11 больше числа груш,собранных Мариной и на 7 больше, собранных Лизой. Какую часть всех груш собрала Марина? Какую часть всех груш собрала Лиза?

Answer 1

X - число собранных груш.

x-11 - число собранных груш Мариной.

x-7 число собранных груш Лизой.

x-11+x-7=x
2x-18=x
2x-x=18
x=18
Значит, Марина собрала 7 груш. 7/18

Значит, Лиза собрала 11 груш 11/18

Answer 2

Problem Analysis

We are given that Marina and Lisa collected pears. The number of pears collected by both of them is 11 more than the number of pears collected by Marina and 7 more than the number of pears collected by Lisa. We need to find the fraction of pears collected by Marina and the fraction of pears collected by Lisa.

Solution

Let's assume the number of pears collected by Marina is M and the number of pears collected by Lisa is L.

According to the given information: - The number of pears collected by both of them is 11 more than the number of pears collected by Marina: M + L = M + 11. (Equation 1) - The number of pears collected by both of them is 7 more than the number of pears collected by Lisa: M + L = L + 7. (Equation 2)

We can solve these equations to find the values of M and L.

Solving the Equations

Let's solve Equation 1 for L: M + L = M + 11 L = 11

Substituting the value of L in Equation 2: M + 11 = 7 + 7 M + 11 = 18 M = 18 - 11 M = 7

So, Marina collected 7 pears and Lisa collected 11 pears.

Finding the Fractions

To find the fraction of pears collected by Marina, we divide the number of pears collected by Marina (7) by the total number of pears collected by both of them (7 + 11 = 18): Fraction of pears collected by Marina = 7/18

To find the fraction of pears collected by Lisa, we divide the number of pears collected by Lisa (11) by the total number of pears collected by both of them (7 + 11 = 18): Fraction of pears collected by Lisa = 11/18

Answer

Marina collected 7/18 of all the pears, and Lisa collected 11/18 of all the pears.

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