Help me with this math problem

[Anonymous]

If I spent $60 and ended up being 120 percent of my budget, what amount would be 100 percent? How would i calculate this?
I am trying to help my kid with his math homework and I would know how to do it in my head but terrible at explaining. Help!?

[Anonymous]

What grade math?

There are a bunch of approaches, depending on what skills they have under their belt.

[Anonymous]

Anonymous wrote:What grade math?

There are a bunch of approaches, depending on what skills they have under their belt.

6th

[Anonymous]

So in word terms, you’ve got 60$ on one side of the equation, and X times 120% on the other side of the equation. (X is your budget). So, if you divide both sides by 120%, you’ll get what X is. 60/120% will give you X.

(Which is the same as what 100% of X is)

[Anonymous]

60$ = 1.2 x X
X = 60 /1.2
X = 50$

[Anonymous]

60 = 1.20x

x = budget

[Anonymous]

60=x*1.20 (120% converted to a decimal)

60/1.20=x

x=50

[Anonymous]

Anonymous wrote:So in word terms, you’ve got 60$ on one side of the equation, and X times 120% on the other side of the equation. (X is your budget). So, if you divide both sides by 120%, you’ll get what X is. 60/120% will give you X.

(Which is the same as what 100% of X is)

Yes, or 60 = 1.2x

You solve for x by dividing each side by 1.2

100% of x is x; 120% of x is 1.2x

[Anonymous]

50$

[Anonymous]

x is 100 %budget and 20%=1/5 so:

x + 1/5 x = $60

5x + x = $300

6x = $300

x = $50

[Anonymous]

Anonymous wrote:x is 100 %budget and 20%=1/5 so:

x + 1/5 x = $60

5x + x = $300

6x = $300

x = $50

PP here - Well, I went the long way around. Clearly the 1.2 x posters were more efficient. Maybe I should revisit 6th.

[Anonymous]

Anonymous wrote:

Anonymous wrote:x is 100 %budget and 20%=1/5 so:

x + 1/5 x = $60

5x + x = $300

6x = $300

x = $50

PP here - Well, I went the long way around. Clearly the 1.2 x posters were more efficient. Maybe I should revisit 6th.

😂 PP, this was hilarious

- love, the 120%

[Anonymous]

Ratios also help some kids with this type of question.
X/100 = 60/120

For some the jump straight to losing the zeros and rearranging doesn't make sense right away.

[Anonymous]

Giving the algebraic equation is correct, but not helpful for teaching percentage calculations. You need to teach how to determine the equation in the first place.

When I was in sixth grade, we were taught how to set up an “I” chart. When I recently had to teach this topic to 30 new adults just hired for our company, I resurrected the “I” chart.

Let me know if you want more explanation.

[Anonymous]

Do they want you to cross multiply?

60/120 = X/100

120X = 6000

12X = 600

X = 50

So your budget was $50.