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Answer:
(a) [tex]x = 60[/tex]
(b) [tex]x = 2.64[/tex]
(c) [tex]x=15[/tex]
Step-by-step explanation:
Solving (a):
[tex]\frac{1}{4}x + \frac{2}{5}x = 39[/tex]
[tex]\frac{x}{4} + \frac{2x}{5} = 39[/tex]
Take LCM
[tex]\frac{13x}{20} = 39[/tex]
Multiply through by 20
[tex]20 * \frac{13x}{20} = 39 * 20[/tex]
[tex]13x = 39 * 20[/tex]
[tex]13x = 780[/tex]
Solve for x
[tex]x = 780/13[/tex]
[tex]x = 60[/tex]
Solving (b):
[tex]0.6x + 0.5x = 2.9[/tex]
This gives:
[tex]1.1x = 2.9[/tex]
Solve for x
[tex]x = \frac{2.9}{1.1}[/tex]
[tex]x = \frac{29}{11}[/tex]
[tex]x = 2.64[/tex]
Solving (c):
[tex]\frac{3}{5}x = 9[/tex]
Multiply both sides by [tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3}*\frac{3}{5}x = 9 * \frac{5}{3}[/tex]
[tex]x = 9 * \frac{5}{3}[/tex]
[tex]x = \frac{9 *5}{3}[/tex]
[tex]x = \frac{45}{3}[/tex]
[tex]x=15[/tex]