Помогите решить задачу .В саду посадили 360 фруктовых деревьев - яблонь , груш и слив Груши
составляют 1/5 всех деревьев , и на каждые 3 сливы сажали по 5 яблонь . Сколько посадили яблонь , груш и слив в отдельности?Ответы на вопрос
Пусть х это кол во раз сколько сажали слив и яблонь,тогда
3х+5х=288
8х=288
х=36
Сливы:36*3=108
Яблони:36*5=180
Problem Analysis
We are given that there are a total of 360 fruit trees in a garden, including apple trees, pear trees, and plum trees. It is mentioned that pear trees make up 1/5 of all the trees, and for every 3 plum trees, 5 apple trees were planted. We need to determine the number of apple trees, pear trees, and plum trees separately.Solution
Let's solve this problem step by step.1. Let's assume the number of pear trees is represented by p. 2. According to the given information, pear trees make up 1/5 of all the trees. So we can write the equation: p = (1/5) * 360.
To find the number of apple trees and plum trees, we need to use the information that for every 3 plum trees, 5 apple trees were planted.
3. Let's assume the number of plum trees is represented by l. 4. According to the given information, for every 3 plum trees, 5 apple trees were planted. So we can write the equation: 5 * (l/3) = a, where a represents the number of apple trees.
Now, we can solve these equations to find the values of p, a, and l.
Calculation
1. The number of pear trees, p, can be calculated as: p = (1/5) * 360. - Substituting the values: p = (1/5) * 360 = 72.2. The number of apple trees, a, can be calculated as: 5 * (l/3) = a. - Substituting the value of l from the previous equation: 5 * (72/3) = a. - Simplifying: 5 * 24 = a. - Calculating: a = 120.
3. The number of plum trees, l, can be calculated as: l = 360 - p - a. - Substituting the values: l = 360 - 72 - 120. - Calculating: l = 168.
Answer
Therefore, the number of apple trees, pear trees, and plum trees planted separately are as follows: - Apple trees: 120 - Pear trees: 72 - Plum trees: 168Let me know if there is anything else I can help you with!
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