Question

30 POINTS!!!!

Answer 1

Given

Tom and Martin both worked 9 hours this week and sold $360 worth of meals

Tom's percent of tips was 15% while Martin's was 20%

Find out the most money this week between Tom and Martin

To proof

In this question take two cases

FIRST CASE

Martin worked 9 hours

sold worth of meals = $360

Martin's percent of tip = 20%

First convert 20% in decimal form

= $\frac{20}{100}$

= 0.20

than the equation becomes

Martin makes money = 9 × 2.50 + 0.20 × 360

                                   = 22.5 + 72

                                   = $ 94.5

SECOND CASE

Tom worked 9 hours

Tom's percent of tips = 15%

sold worth of meals = $360

First 15 % is written in decimal form

= $\frac{15}{100}$

= 0.15

than the equation becomes

Tom  makes money = 9 × 2.15 + 0 .15× 360

                                =  19.35 + 54

                                = $ 73.35

Thus martin makes money is $94.5

Thus tom makes money is $73.35

Hence Martin makes more money than tom

Hence proved