Question 112364
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