Question

If the ratio of milk cartons to juice boxes is \( 13:x \) and there are 39 milk cartons and 18 juice boxes, what is the value of \( x \)?

• A. 4
• B. 6
• C. 8
• D. 10
• E. 12

Hint:

When solving ratios, use cross-multiplication to find the unknown value.

Answer 1

The Correct Option is B

The ratio of milk cartons to juice boxes is given as \( 13:x \). We know that there are 39 milk cartons and 18 juice boxes, so we can set up the proportion: \[ \frac{39}{18} = \frac{13}{x} \] Cross-multiply: \[ 39x = 13 \times 18 \] Simplify: \[ 39x = 234 \] Now, divide by 39: \[ x = \frac{234}{39} = 6 \]
Final Answer: \[ \boxed{6} \]