Decimal pt after 3 digits in first number so 3 digits in product.
He saved 5/24 of his money
Make common denominators
1/6 * 4/4 =4/24
5/8 * 3/3= 15/24
15/24 + 4/24 = 19/24
24/24 - 19/24
= 5/24
The division is using extra zeros.
2 * 16 = 32, but 3200 was placed below 3426.
Now 1 * 16 = 16, so 160 goes below 226.
The number that goes in the box is 160.
In the first one it would be (21-8)-6=7.
and in the second one it would be 21-(8-6)=19
[x-1]=5x+10
We have two equations:
1) x-1=5x+10
x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4
2) x-1=-(5x+10)
x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2
we have two possible solutions:
solution₁; x=-11/4
solution₂: x=-3/2
we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4 - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4 + 10
[-15/4]=(-55+40) /4
15/4≠-15/4 This solution don´t work.
2) x=-3/2
[x-1]=5x+10
[-3/2 - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2 + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.
Therefore:
Answer: x=-3/2.
