A dormitory manager buys 38 bed sheets and 61 towels for $791.50. The manager get another 54 bed sheets and 50 towels for $923 from the same store. What is the cost of one bed sheet and one towel?

$15 and $10

$13.50 and $7.50

$12 and $5.50

$10.50 and $3

Question

A dormitory manager buys 38 bed sheets and 61 towels for $791.50. The manager get another 54 bed sheets and 50 towels for $923 from the same store. What is the cost of one bed sheet and one towel?

$15 and $10

$13.50 and $7.50

$12 and $5.50

$10.50 and $3

abmon98 · Answer

Purchases- 38 bed Sheets 61 Towels 
Price of purchases- $791.50
Purchases- 54 bed Sheets 50 Towels 
Price of purchases- $923.00
38x+61y=791.50
54x+50y=923.00
y=791.50-38x/61
54x+50(791.50-38x/61)=923
54x+(39575-1900x/61)=923
3294x+39575-1900x=56303
3294x-1900x=16728
1394x=16728
x=12.00

abmon98 · Answer

y=791.50-(38*12)/61
y=5.50