MATH SOLVE

2 months ago

Q:
# Three friends own a landscaping business.The number of hours each friend spend on the same project is shown:Edgar=17 1/4 Kelly=18 1/4 Shawn=14 1/2In total they earned $850 for the job.They put 15% of this amount into a joint savings account for future expenses. Then they divided the rest proportionally based on the number of hours each worked. How much money did Shawn receive?A)$209.53 B)$240.83 C)$283.48 D)$295.11

Accepted Solution

A:

Edgar--------------------> 17 1/4-----> (17*4+1)/4=17.25 hours

Kelly--------------------- > 18 1/4---- > (18*4+1)/4= 18.25 hours

Shawn------------------- > 14 1/2--- > (14*2+1)/2= 14.50 hours

total hours----------- > 17.25+18.25+14.5=50 hours

total earned---------- > $850-------------- > 15%-------> 850*.15=$127.5

the rest of money------------ > 85%----------- >850*.85=$722.5

if

50 hours-------------------------- > 100%

14.5 hours (Shawn)---------------> X

X=14.5*100/50=29%

Shawn received-------------- > 0.29*722.5=$209.53

the answer is $209.53

Kelly--------------------- > 18 1/4---- > (18*4+1)/4= 18.25 hours

Shawn------------------- > 14 1/2--- > (14*2+1)/2= 14.50 hours

total hours----------- > 17.25+18.25+14.5=50 hours

total earned---------- > $850-------------- > 15%-------> 850*.15=$127.5

the rest of money------------ > 85%----------- >850*.85=$722.5

if

50 hours-------------------------- > 100%

14.5 hours (Shawn)---------------> X

X=14.5*100/50=29%

Shawn received-------------- > 0.29*722.5=$209.53

the answer is $209.53