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
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
