A roller coaster ride holds a total of 48 passengers. The ratio of males to females on the ride is 5 : 7. Let xx represent the number of males on the ride. Let yy represent the number of females on the ride. Which two linear equations form a system that you can use to find the number of males and the number of females on the ride

Question

Mathematics

Destinee Cummings

24 December, 03:01

A roller coaster ride holds a total of 48 passengers. The ratio of males to females on the ride is 5 : 7. Let xx represent the number of males on the ride. Let yy represent the number of females on the ride. Which two linear equations form a system that you can use to find the number of males and the number of females on the ride

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Little Bear · Answer 1

First, consider the total male and female passengers which is 48. Equation 1 can be expressed as,

xx + yy = 48

Then, for the ratio,

xx / yy = 5/7

Cross-multiplying the equation. The equation becomes,

7xx = 5yy

The two linear equations are therefore,

(1) xx + yy = 48

(2) 7xx - 5yy = 0