Need help ?
↳Redirected from
"What are the recent changes I've noticed on Socratic?"
#20*13=260# economy class seats
#20*5=100# business class seats
The ratio 13:5 describes the relationship between the economy and business class seats. First, add these numbers together to get #18#. Now, #360/18=20#, so we know there are 20 complete groups of seats. Therefore, each class of seats will be 20 times its respective number.
#20*13=260# economy class seats
#20*5=100# business class seats
#260+100=360# Check
#260/100=13/5# Check
There are 260 seats in economy class and 100 seats in business class.
Use two equations with two variables.
First, we know that the total number of seats on the plane is 360 seats.
Define variables:
#"Let " B " be the number of business class seats, and "#
#"let " E " be the number of economy class seats"#
#color(blue)(E+B=360)#
Our second equation is defined by rewording the second sentence of the problem. The problem basically states that the number of business class seats is #5/13# times the number of economy class seats. In equation form:
#color(blue)(B = 5/13 * E)#
Use substitution to solve for #B# and #E# - substitute the second equation into the first:
#E + (frac{5}{13}*E) = 360#
#(18/13)*E =360#
#E = 360 * 13/18#
#color(green)(E = 260" seats in economy class")#
More substitution:
#B = 5/13 * (260)#
#color(green)(B = 100" seats in business class")#
