The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy. Lola sold $2030 in ads, Ahmed sold $1540, and Tommy sold $1800.

HELP! What fraction of the total sales did each salesperson sell?

A $100 bonus was awarded to the three salespeople, which they had to share. It was awarded so that each salesperson received the same fraction of $100 as he or she sold of the total sales. How much did each person receive? Round to the nearest whole cent.
Show work if can please!
Answer:

Respuesta :

1.

Answer

[tex]Lola=\frac{203}{537}[/tex]

[tex]Ahmed=\frac{154}{537}[/tex]

[tex]Tommy=\frac{60}{179}[/tex]

Explanation

To find fraction of the total sales for each salesperson, we just need to divide the amount sold by each person by the total sales.

First, we are going to find the total sales:

$2030 + $1540 + $1800 = $5370

Now we can divide the amount sold by each salesperson by $5370:

[tex]Lola=\frac{2030}{5370} =\frac{203}{537}[/tex]

[tex]Ahmed =\frac{1540}{5370} =\frac{154}{537}[/tex]

[tex]Tommy=\frac{1800}{5370} =\frac{60}{179}[/tex]

We can conclude that Lola sold [tex]\frac{203}{537}[/tex] of the total sales, Ahmed sold [tex]\frac{154}{537}[/tex] of the total sales, and Tommy sold [tex]\frac{60}{179}[/tex] of the total sales.

2.

Answer

Lola = $37.80

Ahmed = $28.68

Tommy = $33.52

Explanation

We need to divide $100 bonus according of the fraction of the total sales sold by each salesperson; to do so, we need to multiply $100 by the fraction of the total sales for each salesperson:

[tex]Lola=\frac{203}{537}*100=37.8026[/tex]

And rounded to the nearest cent:

Lola = $37.80

[tex]Ahmed=\frac{154}{537}*100=28.6778[/tex]

And rounded to the nearest cent:

Ahmed = $28.68

[tex]Tommy=\frac{60}{179}*100=33.5195[/tex]

And rounded to the nearest cent:

Tommy = $33.52

We can conclude that of the $100 bones, Lola received $37.80, Ahmed $28.68, and Tommy $33.52