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Dima020 [189]
3 years ago
10

While at camp Mrs Ktenas asked 24 of her year 12 students to plant apple and

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

6 apple trees, 18 orange trees

Step-by-step explanation:

Let the number of boys be x and the number of girls be y

x+y=24

As each three boys plant 1 tree, each boy plants 1/3 trees

Each girl plants 3 trees

Note that the type of tree is irrelevent at this point as we are working out the number of boys and girls by the total number of trees

x/3+3y=24

x+y=24

Times x/3+3y=24 by 3

x+9y=72

x+y=24

Minus the first equation with the second equation, we get that

8y=48

y=6

substitute into the equation

x+6=24

x=18

As each 3 boys plant a apple tree, total apple trees planted by boys=18/3=6

As each girl plants 3 orange trees, total orange trees planted by girls=6*3=18

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