Yoku is putting on sunscreen. He uses 2ml to cover 50cm2 of his skin. He wants to know how many milliliters of sunscreen (c) he needs to cover 325cm2 of his skin.How many milliliters of sunscreen does Yoku need to cover 325cm2 of his skin?ml
Q. Yoku is putting on sunscreen. He uses 2ml to cover 50cm2 of his skin. He wants to know how many milliliters of sunscreen (c) he needs to cover 325cm2 of his skin.How many milliliters of sunscreen does Yoku need to cover 325cm2 of his skin?ml
Establish Relationship: First, let's establish the relationship between the amount of sunscreen used and the area it covers. Yoku uses 2ml of sunscreen to cover 50cm2 of skin. We need to find out how many milliliters of sunscreen are needed to cover 325cm2 of skin. We can set up a proportion to solve for the unknown quantity (c), which represents the amount of sunscreen needed for 325cm2.
Set Up Proportion: Using the proportion, we have:50cm22ml=325cm2cmlNow we need to solve for c by cross-multiplying.2ml×325cm2=cml×50cm2
Cross-Multiply: Perform the multiplication on both sides of the equation:650ml⋅cm2=50cml⋅cm2Now, divide both sides by 50cm2 to isolate c.50cm2650ml⋅cm2=c
Isolate c: Calculate the division to find the value of c:c=50cm2650ml⋅cm2c=13mlSo, Yoku needs 13milliliters of sunscreen to cover 325cm2 of his skin.