Question

Arm & Hammer baking soda deodorant weighs 56.7 grams. Sure Clear Dry deodorant weighs 45.0 grams. Let \(x\) be the difference in weight. Write an equation and solve for \(x .\)

Short answer

Answer: 11.7 grams

Step-by-step solution

Identify the weights of the deodorants

Arm & Hammer baking soda deodorant weighs 56.7 grams, and Sure Clear Dry deodorant weighs 45.0 grams.

Write an equation to represent the difference in weight

Let \(x\) be the difference in weight. The equation representing the problem is: \(x = |56.7 - 45.0|\).

Solve for x

Subtract the weights to find the difference and take the absolute value: \(x = |56.7 - 45.0|\) \(x = |11.7|\) \(x = 11.7\) grams. The difference in weight between Arm & Hammer baking soda deodorant and Sure Clear Dry deodorant is 11.7 grams.