Let's look at 26.....let the denominator = x
And the numerator is 5 less than 3 times this = 3x - 5
So
[3x - 5] / x = 4/8 [ 4/8 = 1/2]
[3x - 5] / x = 1/2 cross-multiply
2[3x - 5] = x simplify
6x - 10 = x subtract x from both sides and add 10 to both sides
5x = 10 divide both sides by 5
x = 2 this is the denominator
And 3(2) - 5 = 6 - 5 = 1
So....as Spawnnd rarinstraw said, the fraction = 1/2
16. n=5
17.n=4.5
18. n=15
19. n=7.5
20.n=12
21. x=8/3
22. x=4
23. x=36
24. 2.5 rooms
25. 16 boys
26. 1/2
Sorry spawn, but your answer for #25 is wrong. It is 3 rooms.
To answer the questions:
16: n=5
17:n=9
18:n=15
19:n=7.5
20:n=16
21:X=8/3
22:x=9
23:x=36
24:Joan can paint 3 rooms in 7.5 hours.
25:There are 16 boys.
26:1/2
Hope this answers the questions! :)
Let's look at 26.....let the denominator = x
And the numerator is 5 less than 3 times this = 3x - 5
So
[3x - 5] / x = 4/8 [ 4/8 = 1/2]
[3x - 5] / x = 1/2 cross-multiply
2[3x - 5] = x simplify
6x - 10 = x subtract x from both sides and add 10 to both sides
5x = 10 divide both sides by 5
x = 2 this is the denominator
And 3(2) - 5 = 6 - 5 = 1
So....as Spawnnd rarinstraw said, the fraction = 1/2
My bad guest, you're right
And rarin is as well, bit of a derp on my part
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