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Yoku is putting on sunscreen. He uses 
2ml to cover 
50cm^(2) of his skin. He wants to know how many milliliters of sunscreen 
(c) he needs to cover 
325cm^(2) of his skin.
How many milliliters of sunscreen does Yoku need to cover 
325cm^(2) of his skin?

ml

Yoku is putting on sunscreen. He uses 2ml 2 \mathrm{ml} to cover 50 cm2 50 \mathrm{~cm}^{2} of his skin. He wants to know how many milliliters of sunscreen (c) (c) he needs to cover 325 cm2 325 \mathrm{~cm}^{2} of his skin.\newlineHow many milliliters of sunscreen does Yoku need to cover 325 cm2 325 \mathrm{~cm}^{2} of his skin?\newlineml \mathrm{ml}

Full solution

Q. Yoku is putting on sunscreen. He uses 2ml 2 \mathrm{ml} to cover 50 cm2 50 \mathrm{~cm}^{2} of his skin. He wants to know how many milliliters of sunscreen (c) (c) he needs to cover 325 cm2 325 \mathrm{~cm}^{2} of his skin.\newlineHow many milliliters of sunscreen does Yoku need to cover 325 cm2 325 \mathrm{~cm}^{2} of his skin?\newlineml \mathrm{ml}
  1. Establish Relationship: First, let's establish the relationship between the amount of sunscreen used and the area it covers. Yoku uses 2ml2\,\text{ml} of sunscreen to cover 50cm250\,\text{cm}^2 of skin. We need to find out how many milliliters of sunscreen are needed to cover 325cm2325\,\text{cm}^2 of skin. We can set up a proportion to solve for the unknown quantity (c)(c), which represents the amount of sunscreen needed for 325cm2325\,\text{cm}^2.
  2. Set Up Proportion: Using the proportion, we have:\newline2ml50cm2=cml325cm2\frac{2 \, \text{ml}}{50 \, \text{cm}^2} = \frac{c \, \text{ml}}{325 \, \text{cm}^2}\newlineNow we need to solve for cc by cross-multiplying.\newline2ml×325cm2=cml×50cm22 \, \text{ml} \times 325 \, \text{cm}^2 = c \, \text{ml} \times 50 \, \text{cm}^2
  3. Cross-Multiply: Perform the multiplication on both sides of the equation:\newline650mlcm2=50cmlcm2650 \, \text{ml} \cdot \text{cm}^2 = 50c \, \text{ml} \cdot \text{cm}^2\newlineNow, divide both sides by 50cm250 \, \text{cm}^2 to isolate cc.\newline650mlcm250cm2=c\frac{650 \, \text{ml} \cdot \text{cm}^2}{50 \, \text{cm}^2} = c
  4. Isolate c: Calculate the division to find the value of c:\newlinec=650mlcm250cm2c = \frac{650 \, \text{ml} \cdot \text{cm}^2}{50 \, \text{cm}^2}\newlinec=13mlc = 13 \, \text{ml}\newlineSo, Yoku needs 13milliliters13 \, \text{milliliters} of sunscreen to cover 325cm2325 \, \text{cm}^2 of his skin.

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