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MathNet 2017-part-06 — 176 problems (EN–VI) Question 57

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 57

Marko and France each have their own orchard with apple trees and pear trees. France has $20 \%$ fewer apple trees but 7 more pear trees than Marko. Together they have 218 trees. Next year France intends to plant another 22 apple trees and 24 pear trees, so that he will have 1.5 times as many apple trees as pear trees. How many apple trees and how many pear trees does each of them have this year?

(10 points)