he is missing 3 cents to buy an ice cream bar. she is missing 5 cents to buy the same ice cream bar. they combine their money but they are still 1 cent short. how much is the ice cream bar?
Let x denote how much he has and y denote how much she has. Let p be the price of the ice cream bar. Now convert the statements to equations we can solve. We have
(1) x+3=p
(2) y+5=p
(3) x+y+1=p
Subtract (1) from (3) to get
y-2=0 or y=2
You should be able to finish it from here.
i checked my answer but i think ive done something wrong can u plz explain again sorry for bothering
Re-read my first post in this thread. After y is known, look at (2) and sovle for p, then solve for x in (1). Basically, we work backwards to find what the variables are. Be sure to show your work, so we can see where you may've gone wrong. And no, it's not 'bothering' to ask questions, but it helps if we can see your reasoning. If there are problems understanding my steps I'll gladly explain them in further detail.
No problem at all! Let's go through the steps again to find the correct answer.
We have the following equations:
(1) x + 3 = p
(2) y + 5 = p
(3) x + y + 1 = p
We want to solve for the price of the ice cream bar, denoted by p.
Let's start by isolating y in equation (2):
y = p - 5
Now we substitute this expression for y in equation (3):
x + (p - 5) + 1 = p
Simplifying this equation, we get:
x + p - 4 = p
Now, let's isolate x:
x = 4
We can substitute this value for x in equation (1):
4 + 3 = p
p = 7
Therefore, the price of the ice cream bar is 7 cents.
It's possible that your mistake might have occurred during the substitution step or simplifying the equations. Be sure to double-check your work and calculations to ensure accuracy.
Let me know if you have any further questions or if there's anything else I can assist you with!