Daily Mail Mindbende 1 April 2024 Monday

[Magsiksnys]

"Totting up sales figures from last week, Sunil made a third plus a sixth of the sales achieved by Isaac, who made six more sales than Kay , whose sales totalled five times a third of Sunil's. 

If Jasper's sales brought the foursome's average to 27, what was the highest individual total of sales"

TIA

 

[bhg481]

I make it Isaac 36, Sunil 18, Kay 30 and Jasper 24.

 

Highest is Isaac at 36.

[bhg481]

I can give you the working if you need to know it.

[Magsiksnys]

interesting yes please. hopefully its not remainder theorem!

 

[bhg481]

Using the intial letter of each person to represent the number of sales they made, so S = Sunil etc:

S= (1/3+1/6)*I = I/2

I= K+6 = 5*I/6 +6

6I = 5I+36

I=36

S=I/2 = 18

K=5S/3 = 30

I+S+K = 84

 

Average = 27, therefore total sales = 27*4 = 108

and Jasper makes 108-84 = 24 sales.

[Magsiksnys]

Many thanks

 

[THECORBYLOON]

"Sunil made a third plus a sixth of the sales achieved by Isaac..."

Is that not a third of the total sales plus a sixth of Isaac's sales?

 

[bhg481]

I treated as (1/3 + 1/6) of Isaac's sales - just a complicated way of saying 1/2. Perhaps the question is not defined clearly enough.

[elliemay1]

Any other ideas? 

[bhg481]

If you prefer TCL's interpretation of the question use S=(4*27)/3 + I/6

ie, S=36+I/6.

Other equations are unchanged and repeat the calculation.