What is the prime factorization of 45?
1 answer:
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Make an equation system based on the problem
<span>An equation for "A plane has 360 total seats, </span>which are divided into economy class and business class" is
∴ e + b = 360 (first equation)
"<span>For every 13 seats in economy class, there are 5seats in business class" that means in 1b there is (5/13) e
</span>∴
(second equation)
<span>
Solve the equation, find the value of e
</span><span>Subtitute b with (5e)/13 in the first equation
</span>e + b = 360
Equalize the denominators
move 13 to the right side, and solve for e
18e = 360 × 13
18e = 4,680
e = 4,680/18
e = 260
Find the value of b
e + b = 360
260 + b = 360
b = 360 - 260
b = 100
There are 260 seats in economy class and 100 seats in business class
<span>An equation for "A plane has 360 total seats, </span>which are divided into economy class and business class" is
∴ e + b = 360 (first equation)
"<span>For every 13 seats in economy class, there are 5seats in business class" that means in 1b there is (5/13) e
</span>∴
<span>
Solve the equation, find the value of e
</span><span>Subtitute b with (5e)/13 in the first equation
</span>e + b = 360
Equalize the denominators
move 13 to the right side, and solve for e
18e = 360 × 13
18e = 4,680
e = 4,680/18
e = 260
Find the value of b
e + b = 360
260 + b = 360
b = 360 - 260
b = 100
There are 260 seats in economy class and 100 seats in business class