Question

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

Answer 1

11+7=18=11/18 7/18 вот так

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 all the 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)

To find the fraction of pears collected by Marina, we need to divide the number of pears collected by Marina (M) by the total number of pears collected by both Marina and Lisa (M + L).

To find the fraction of all the pears collected by Lisa, we need to divide the number of pears collected by Lisa (L) by the total number of pears collected by both Marina and Lisa (M + L).

Let's solve the equations to find the values of M and L.

Solution Steps

1. Rewrite Equation 1 and Equation 2: - Equation 1: M + L = M + 11 - Equation 2: M + L = L + 7 2. Simplify the equations: - Equation 1: L = 11 - Equation 2: M = 7 3. Calculate the fraction of pears collected by Marina: - Fraction of pears collected by Marina = M / (M + L) = 7 / (7 + 11) 4. Calculate the fraction of all the pears collected by Lisa: - Fraction of all the pears collected by Lisa = L / (M + L) = 11 / (7 + 11)

Solution

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

Answer

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