Kwesi is putting on sunscreen. He uses 3ml to cover 45cm^(2) of his skin. He wants to know how many milliliters of sunscreen (g) he needs to cover 240cm^(2) of his skin. He assumes the relationship between milliliters of sunscreen and area is proportional. How many milliliters of sunscreen does Kwesi need to cover 240cm^(2) of his skin? ml

Question

Kwesi is putting on sunscreen. He uses  3ml to cover  45cm^(2) of his skin. He wants to know how many milliliters of sunscreen  (g) he needs to cover  240cm^(2) of his skin. He assumes the relationship between milliliters of sunscreen and area is proportional. How many milliliters of sunscreen does Kwesi need to cover  240cm^(2) of his skin?  ml

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. Kwesi uses 3ml of sunscreen to cover 45cm^2 of his skin. We need to find out how much sunscreen he will need to cover 240cm^2 of his skin, assuming the relationship between the volume of sunscreen and the area covered is directly proportional.Set up the proportion: Set up the proportion. If 3ml covers 45cm^2, then we can set up the proportion as follows: 3ml / 45cm^2 = g / 240cm^2 where g is the amount of sunscreen needed to cover 240cm^2.Solve for g: Solve for g. Cross-multiply to solve for g: 3ml * 240cm^2 = 45cm^2 * g 720ml*cm^2 = 45cm^2 * gDivide to isolate g: Divide both sides by 45cm^2 to isolate g. g = 720ml*cm^2 / 45cm^2 g = 16ml

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