Question
There are few rows in the garden. If 4 plants are
planted in each row, then 3 rows are left unoccupied. However, if 3 plants are planted in each row then 3 plants are left. How many plants are there?Solution
Let
rr = number of rows in the garden
nn = total number of plants If 4 plants are planted in each row, then 3 rows are left unoccupied. That means only râ3râ3 rows are used.
Each of these rows has 4 plants, so: n=4Ă(râ3)n=4Ă(râ3) If 3 plants are planted in each row then 3 plants are left. That means all rr rows are used, but 3 plants remain unplanted: n=3r+3n=3r+3 4(râ3)=3r+34(râ3)=3r+34râ12=3r+34râ12=3r+34râ3r=3+124râ3r=3+12r=15r=15 n=4(15â3)=4Ă12=48n=4(15â3)=4Ă12=48 Check with the other equation: n=3Ă15+3=45+3=48n=3Ă15+3=45+3=48Â
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