Question

which print cartridge has 32% of its ink that has been used?
cartridge a: 8 out of 25
cartridge b: 18 out of 32
cartridge c: 12 out of 36
cartridge d: 17 out of 48

Explanation:

Step1: Calculate the percentage for Cartridge A

To find the percentage of ink used for Cartridge A, we use the formula \(\text{Percentage}=\frac{\text{Ink Used}}{\text{Total Ink}}\times100\). For Cartridge A, \(\text{Ink Used} = 6\) and \(\text{Total Ink}=25\). So, \(\text{Percentage}_A=\frac{6}{25}\times100=\frac{6\times100}{25}= 24\%\)

Step2: Calculate the percentage for Cartridge B

For Cartridge B, \(\text{Ink Used} = 18\) and \(\text{Total Ink}=32\). Using the formula \(\text{Percentage}=\frac{\text{Ink Used}}{\text{Total Ink}}\times100\), we have \(\text{Percentage}_B=\frac{18}{32}\times100=\frac{18\times100}{32}=\frac{1800}{32}=56.25\%\)

Step3: Calculate the percentage for Cartridge C

For Cartridge C, \(\text{Ink Used} = 12\) and \(\text{Total Ink}=36\). Using the formula \(\text{Percentage}=\frac{\text{Ink Used}}{\text{Total Ink}}\times100\), we get \(\text{Percentage}_C=\frac{12}{36}\times100=\frac{12\times100}{36}\approx33.33\%\)

Step4: Calculate the percentage for Cartridge D

For Cartridge D, \(\text{Ink Used} = 17\) and \(\text{Total Ink}=48\). Using the formula \(\text{Percentage}=\frac{\text{Ink Used}}{\text{Total Ink}}\times100\), we have \(\text{Percentage}_D=\frac{17}{48}\times100=\frac{17\times100}{48}\approx35.42\%\)

Answer:

Cartridge D