Ivan is an artist. He creates 1 sculpture for every 7 paintings. If he has created 56 paintings, how many sculptures has he created?

A.
49
B.
8
C.
392
D.
56

1 answer

To find out how many sculptures Ivan has created, we can use the given ratio of sculptures to paintings. Since he creates 1 sculpture for every 7 paintings, we can set up the following relationship:

Let \( x \) be the number of sculptures.

According to the problem, the relationship can be expressed as: \[ \frac{x}{56} = \frac{1}{7} \]

We can solve for \( x \) by cross-multiplying: \[ x \cdot 7 = 1 \cdot 56 \] \[ 7x = 56 \]

Now, divide both sides by 7: \[ x = \frac{56}{7} = 8 \]

So, Ivan has created 8 sculptures.

The answer is B. 8.