Question

There are 3 neighboring orchards, A, B, and C. Orchard A has 60 fewer fruit

trees than Orchard B. Orchard C has 3 times as many fruit trees as Orchard
B. If the three orchards have 430 fruit trees altogether, how many fruit trees
does Orchard C have?
A
B
C
60
·?
430

Answer 1

Orchard C has 294 fruit trees.

Let's denote the number of fruit trees in Orchard B as B. According to the given information:

1.Orchard A has 60 fewer fruit trees than Orchard B, so the number of trees in Orchard

A is B−60.

2. Orchard C has 3 times as many fruit trees as Orchard B, so the number of trees in Orchard C is

3B.

The total number of fruit trees for all three orchards is given as 430, so we can set up an equation:

(B−60)+B+3B=430

Now, combine like terms:

5B−60=430

Add 60 to both sides of the equation:

5B=490

Divide both sides by 5 to solve for

B=98

Now that we know the number of fruit trees in Orchard B, we can find the number of trees in Orchard C:

Orchard C

Orchard C=3B=3×98=294

So, Orchard C has 294 fruit trees.

So, Orchard A has 38 fruit trees, Orchard B has 98 fruit trees, and Orchard C has 294 fruit trees.

Sure, let's denote the number of fruit trees in Orchard B as

Orchard A has 60 fewer fruit trees than Orchard B, so the number of fruit trees in Orchard A is B−60.

Orchard C has 3 times as many fruit trees as Orchard B, so the number of fruit trees in Orchard C is 3B.

Now, we know that the total number of fruit trees is 430:

B−60)+B+3B=430

Combine like terms:

5B−60=430

Add 60 to both sides of the equation:

5B=490

Divide both sides by 5:

B=98

Now that we know the number of fruit trees in Orchard B (B=98), we can find the number of fruit trees in Orchard A and Orchard C:

Orchard A: B−60=98−60=38

Orchard C: 3B=3×98=294

So, Orchard A has 38 fruit trees, Orchard B has 98 fruit trees, and Orchard C has 294 fruit trees.