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Ten less than 5 times the value of a number is equal to 10 times the quantity of

12 more than one-fourth of the number. Ifa is the number, what is the value of a?

Write and solve an equation to find a. Show your work.


Sagot :

Aisin

10 less than 5 times the value of a number -> 5a - 10
10 times the quantity of 12 more than one-fourth of a number -> 10(12+1/4a)

We have :
5a - 10 = 10(12 + 1/4a)
5a - 10 - [10(12 + 1/4a)] = 0
5a - 10 - (120 + 5/2a) = 0
5a -10 - 120 - 5/2a = 0

Group : (5a-5/2a) - (10 + 120) = 0
5/2a - 130 = 0
5/2a = 130 -> a = 130 : 5/2 = 52

Recheck : 5 x 52 - 10 = 250
10 x (12 + 1/4 x 52) = 10 x (12 + 13) = 10 x 25 = 250

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