QuestionYoku uses $2 \mathrm{ml}$ for $50 \mathrm{~cm}^{2}$ . How much sunscreen $(c)$ for $325 \mathrm{~cm}^{2}$ ?

Studdy Solution

STEP 1

Assumptions1. The amount of sunscreen used is directly proportional to the area of skin covered. . Yoku uses ml of sunscreen to cover50 cm² of his skin.
3. Yoku wants to cover325 cm² of his skin.

STEP 2

First, we need to find the rate of sunscreen usage per cm². We can do this by dividing the amount of sunscreen used by the area of skin covered.
$Rate = \frac{Sunscreen\, used}{Area\, of\, skin\, covered}$

STEP 3

Now, plug in the given values for the sunscreen used and the area of skin covered to calculate the rate.
$Rate = \frac{2\, ml}{50\, cm²}$

STEP 4

Calculate the rate of sunscreen usage.
$Rate = \frac{2\, ml}{50\, cm²} =0.04\, ml/cm²$

STEP 5

Now that we have the rate of sunscreen usage, we can find the total amount of sunscreen Yoku needs to cover325 cm² of his skin. This can be done by multiplying the rate by the area of skin Yoku wants to cover.
$Sunscreen\, needed = Rate \\times Area\, of\, skin\, to\, be\, covered$

STEP 6

Plug in the values for the rate and the area of skin to be covered to calculate the amount of sunscreen needed.
$Sunscreen\, needed =0.04\, ml/cm² \\times325\, cm²$

STEP 7

Calculate the amount of sunscreen Yoku needs.
$Sunscreen\, needed =0.04\, ml/cm² \\times325\, cm² =13\, ml$ Yoku needs13 ml of sunscreen to cover325 cm² of his skin.

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