Answer
• Sloan: $40.8
Explanation
From the given hours, we have to homogenize the data, for example, all in decimals. Thus:
• Sam:
[tex]7\cdot\frac{1}{2}=\frac{7\cdot2+1}{2}=\frac{14+1}{2}=\frac{15}{2}=7.50[/tex]• Janet: 6.75
,• Sloan:
[tex]4\cdot\frac{1}{4}=\frac{16+1}{4}=\frac{17}{4}=4.25[/tex]• Harper
[tex]6\cdot\frac{1}{2}=\frac{12+1}{2}=\frac{13}{2}=6.50[/tex]Then, they earned $300 tips and they spent 20%. Therefore, we have to calculate the 80% that is left after the 20% spent:
[tex]300\cdot0.80=240[/tex]Finally, we have to calculate the proportion of each hour. The total hours are:
[tex]7.50+6.75+4.25+6.50=25[/tex]Then, we have to multiply this quantity times the proportion of Sloan:
[tex]\frac{4.25}{25}=0.17\cdot240=40.8[/tex]