McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
1. Ratios and Proportions
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Exercise 40 Page 547

Use an extended ratio to write an equation.

9 members

Practice makes perfect
To find the number of surveyed participants of Spanish Club, we will first rewrite the given extended ratio. To do this, we will add x to each number. 2:3:7 ⇒ 2 x:3 x:7 xNow, we will use the fact that the total number of surveyed students is 36. This means that the sum of above terms needs to be equal to 36.
2 x+3 x+7 x= 36
12x=36
x=3
As we know the value of x, we can find the exact number of students that participate in each club. 2 x:3 x:7 x 2( 3):3( 3):7( 3) 6: 9:21 Since Spanish Club members are the middle term in the given ratio, we can conclude that 9 students participate in Spanish Club.