Help me with this math problem

[Anonymous]

Anonymous wrote: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.

Not OP, but I’d be interested in more explanation. I don’t remember “I” charts and didn’t see anything relevant in google.

[Anonymous]

Anonymous wrote: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!?

You are 20% over at $60. 20% of $60 is 2 x 60, 120, move the decimal one place, .2 is 20%, $12.

Double check your work. If $12 is 20%, then 5x that amount, 5 x 20% = 100%, should be the original amount.

[Anonymous]

Always try to look for 1%. 60 and 120 give you the 1% you need to calculate the amount and/or percentage they are asking.
Those formulas have never helped me because I cannot remember than. Always look for 1% or 100% and make sure the number make sense.
The answer had to be less than 60, right? Because 60 is 120%, but you only need 100%, which is smaller than 120%.
I went to school long time again in SU but all kids learned to calculate percentage.
Try percentage change. Very useful thing to know.

[Anonymous]

I did x over 60 equals 100 over 120.

Then 60x100 then divide by 120 equals $50.

[Anonymous]

Anonymous wrote:I did x over 60 equals 100 over 120.

Then 60x100 then divide by 120 equals $50.

The bold was solving for x.

[Anonymous]

https://www.google.com/search?client=ms-android-att-us-revc&sxsrf=AJOqlzUhL16pWlOH_SXJmhjEQxRq-a3BmA:1674091750667&q=double+number+line&tbm=isch&sa=X&ved=2ahUKEwi6j_rgvdL8AhVdlIkEHR6qAScQ0pQJegQIChAB&biw=412&bih=866&dpr=2.63

Double Number Lines are cool. Also called tape diagrams.

[Anonymous]

Anonymous wrote: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!?

You can change the words into an equation.

$60 spent is 120% of your budget

“Spent is” means equal or same as
“Of” means multiplied by

$60 = 120% x budget
Budget = $60 \ 120%
Budget = $60 \ 1.2
Budget = $50

[Anonymous]

The 1.2 posters have the equation, but to figure out how to set that equation up....

First determine what you are solving for: what is unknown? In this case, that's the budget. Give that the name "x".

Now what do you know about x (aka "the budget")? You know that 120% of it (the budget) is $60.

Hints: "percent of" indicates multiplication. "Is" indicates an equal sign.

So, "120 percent of X is $60" can be written mathematically as:
1.2 times X equals 60
Or
1.2x=60

[Anonymous]

I am a math teacher and reading this is giving me so many warm fuzzies. Look at the half dozen different ways peoples’ brains work! How cool!

[Anonymous]

Anonymous wrote:I did x over 60 equals 100 over 120.

Then 60x100 then divide by 120 equals $50.

Same. Most straightforward way I think.

[Anonymous]

(60 divided by 120) X 100

[Anonymous]

60/120 = X/100

60 × 100 ÷ 120 = 50

[Anonymous]

OP, you know how to do this problem, I’m sure of it! I think of word problems having two parts - the computation part and the problem solving part. The computation part can impede your understanding of the problem solving part. When you come across a word problem that seems tricky, try changing the numbers to simpler numbers so you can focus on the problem solving part.

For example, instead of

If I spent $60 and ended up being 120 percent of my budget, what amount would be 100 percent?

Try

If I spent $60 and ended up being 50% of my budget, what about would be 100%?

You probably know that the answer is $120 without having to use an equation or a variable. Now you know that you understand the problem, but it just seems harder because of the numbers. So you have $60 and 50% - how do you use those numbers to arrive at $120? Yes, you can change 50% to 1/2 and multiply by 2 or divide by 1/2. Or change 50% to 0.5 and multiply by 2 or divide by 0.5, but I think fractions are easier to deal with than decimals. If your problem solving works for simpler numbers, it will work for any numbers. It could be

If I spent ln(cos 60 - pi/3) and it ended up being 17,302,927% of my budget, what would be 100%?

and you would still do the problem the same way.

[Anonymous]

Anonymous wrote: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.

I still have to start with two fractions and cross multiply so I can make sure I get all the numbers in the right spot.

[Anonymous]

Anonymous wrote:

Anonymous wrote: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!?

You are 20% over at $60. 20% of $60 is 2 x 60, 120, move the decimal one place, .2 is 20%, $12.

Double check your work. If $12 is 20%, then 5x that amount, 5 x 20% = 100%, should be the original amount.

Huh?