Step-by-step explanation:
First, let x represent this unknown number because we are using an equation to solve this. Note that 'of' means multiplication.
[tex]\frac{1}{3} * 90 = \frac{2}{3} * x[/tex]
First we cross out to get;
30 = [tex]\frac{2}{3}x[/tex]
Then we multiply both sides of the equation by 3
[tex]3 * 30 = \frac{2}{3}x *3[/tex]
90 = 2x
Now since we want x to stand alone, we divide both sides by 2
[tex]\frac{90}{2} = \frac{2x}{2}[/tex]
45 = x
So the answer is 45
Second Problem
First we find how far Ken jumps.
1 ÷ 5 = 0.2. If this is attached to the one it means Ken jumped 1.2 metres.
To find how much further Steve jumped, we just have to subtract Ken's distance from Steve's distance.
1.5 - 1.2 = 0.3 metres
This means Steve jumped 0.3 metres further than Ken.
