I have $100 to spend for dinner. What is the most I can spend, leave a 20% tip, and still not spend more than the $100. Write an equation or inequality modeling this dilemma.

Question

I have $100 to spend for dinner.  What is the most I can spend, leave a 20% tip, and still not spend more than the $100.  Write an equation or inequality modeling this dilemma.

vishweshshrimali5 · Answer

What do u mean to say that tip = $ 20

anonymous · Answer

I want to leave a 20% tip.

vishweshshrimali5 · Answer

and u have to spend $80 on dinner

anonymous · Answer

I have a total of $100.  I want to leave a 20% tip.  What can I spend on dinner still leave a 20% tip and not exceed a $100 bill.

vishweshshrimali5 · Answer

@waterineyes

anonymous · Answer

I am not sure about this and I am not getting the question too but in my view:

20% should be the tip so 20% of 100 is 20..
So:

100 - 20 = $80


So:

Now you have 80 dollars..
And suppose you spend x on your dinner then:

$x + 20 \le 100$

This can be the inequality..

anonymous · Answer

x+(20x/100)<100
where x is amount of money spent on dinner
and 20x/100 is 20% of dinner money as tip

anonymous · Answer

Oh you mean to say that 20% is of the amount that will be spent on dinner..

anonymous · Answer

Yes you will have a total bill.  Let's say $78 and want to leave a tip of 20%.  What is the most money you could have for your bill,leave a 20% tip and not go over $100.  What's the most your bill could be?  my work is correct.

anonymous · Answer

since you have 100 and want a 20% to be tip
lets call the food portion $P$ , and 20% of that is $.2P$ therefore you want $1.2P=100$\divide to get $P=100\div1.2=83\tfrac{1}{3}$

anonymous · Answer

i assume the line 
" What is the most I can spend?" 
is asking, 
"what is the most i can spend on food and drink, tip 20%  of that amount, and spend $100 total?"

anonymous · Answer

Yes what's the most I could spend on food and drink, with a 20% tip and be at or lower than $100.