Question

Phoebe has 9 rocks. She puts the rocks into 3 boxes. Each box has 1 more rock than the previous box. How many rocks are in each box?

a) 2 rocks

b) 3 rocks

c) 4 rocks

d) 5 rocks

Answer 1

Phoebe has 9 rocks that she puts into 3 boxes. Each box has 1 more rock than the previous box. There are 2 rocks in the first box, 3 rocks in the second box, and 4 rocks in the third box.

Step-by-step explanation:

In this problem, Phoebe has 9 rocks that she puts into 3 boxes. Each box has 1 more rock than the previous box. To find out how many rocks are in each box, we can set up an equation.

Let's start by assigning variables to the number of rocks in each box. Let's call the number of rocks in the first box x, the second box x+1, and the third box x+2.

We know that the sum of the number of rocks in each box is 9, so we can write the equation as: x + (x+1) + (x+2) = 9.

Simplifying the equation, we get 3x + 3 = 9. Subtracting 3 from both sides gives us 3x = 6, and dividing both sides by 3 gives us x = 2.

Therefore, there are 2 rocks in the first box, 3 rocks in the second box, and 4 rocks in the third box. So the answer is c) 4 rocks.