While at camp mrs ktenas asked 24 of her year 12 students to plant apple and
orange trees. while each girl planted 3 orange trees, every three boys planted
1 apple tree. by the end of the day, they planted 24 trees. how many apple and
orange trees were planted?
(also, more than the answer, how would i be able to work this out myself? )

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

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

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