SOLUTION: four fifths of a number added to one half the number is equal to the sum of one tenth of the number and 1. what is the number?

Question 112364This question is from textbook
: four fifths of a number added to one half the number is equal to the sum of one tenth of the number and 1. what is the number? This question is from textbook

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=the number
Four-fifths the number=(4x/5)
Half the number=(x/2)
One-tenth the number=(x/10)
One-tenth the number and 1=(x/10)+1
Now we are told the following:
(4x/5)+(x/2)=(x/10)+1 multiply each term by 10
8x+5x=x+10 subtract x from each side
8x+5x-x=x-x+10 collect like terms
12x=10 divide both sides by 12
x=10/12 or 5/6------------------------the number
CK
(4/5)(5/6)+(1/2)(5/6)=(1/10)(5/6)+1 simplify
(20/30)+(5/12)=(5/60)+1 multiply each term by 60
40+25=5+60
65=65

Hope this helps---ptaylor
RELATED QUESTIONS
four more than one-third of a number is equal to two-fifths of the... (answered by rfer)

if two thirds of a number is added to one half of that number ,the sum is 35 find the... (answered by vleith)

A number is added to one-half of its reciprocal and the sum is again added to one-third (answered by ankor@dixie-net.com)

Four-fifths of the sum of a number and three is equal to six and a half. What is the... (answered by stanbon)

The sum of one-half of a number, one third of the number, and one-fourth of the same... (answered by College Student)

how do I work this? the sum of half a number, three times the number,and three-fifths... (answered by josmiceli)

one half the sum of a number and 2 is equal to one third the sum of the number and eight. (answered by edjones)

Seven added to four-fifths of a number equals fifteen.What is the... (answered by Alan3354)

One number exceeds three times a second number by 7. The sum of twice the larger number... (answered by stanbon,chitra)