Yoku would need 13 ml of sunscreen to cover 325 cm² of his skin.
Yoku is using 2 ml of sunscreen to cover 50 cm² of his skin. To find out how many milliliters of sunscreen he needs to cover 325 cm² of his skin, we can use the formula:
![\[ \text{Amount of sunscreen (ml)} = \frac{A_{\text{to be covered}} * \text{Amount of sunscreen (ml)}}{A_{\text{covered}}} \]](https://img.qammunity.org/2024/formulas/mathematics/college/916ghcuptnra2etzcwidluyot5snuo6s85.png)
Substituting the given values and the desired area (325 cm²), we get:
![[\text{Amount of sunscreen (ml)}] = \frac{325 \text{ cm²} * 2 \text{ ml}}{50 \text{ cm²}}](https://img.qammunity.org/2024/formulas/mathematics/college/dqduqheljplidcfj79tnqo5wipnhyyvts9.png)
Simplifying the equation, we get:
![[\text{Amount of sunscreen (ml)}] = \frac{650 \text{ cm²}}{50 \text{ cm²}} * 2 \text{ ml}](https://img.qammunity.org/2024/formulas/mathematics/college/y9u4tpm2tk76flgltlcq74e42gcnq49qsb.png)
![[\text{Amount of sunscreen (ml)}] = 13 \text{ ml}](https://img.qammunity.org/2024/formulas/mathematics/college/5oet595737sk2fgxy2yw5qfd8ipluxcci1.png)
Therefore, Yoku would need 13 ml of sunscreen to cover 325 cm² of his skin.