1. ## Clavius beggar equation

If I were to give 7 cents to each of the beggars at my door, I would have 24 cents left. I lack 32 cents of being able to give them 9 cents each. How many beggars are there and how much money have I?

I was given the answers but am having a hard time making an equation of the problem. Help!!!

Lost

If I were to give 7 cents to each of the beggars at my door, I would have 24 cents left. I lack 32 cents of being able to give them 9 cents each. How many beggars are there and how much money have I?

I was given the answers but am having a hard time making an equation of the problem. Help!!!

Lost
Step1: Look for questions so we know what this question wants.

How many beggars are there and how much money have I?
Step2: Ok, let's call the unknown number of beggars by a variable. I pick b.

So

b = number of beggars (in people)
m = amount of cash I started with (in cents)

Step3: Translate sentences from the story into math statements.

If I were to give 7 cents to each of the beggars at my door, I would have 24 cents left
This is a messy sentence, let's be careful with this one.

I start with some money. Then I lose some (7 cents to each beggar) because I gave it away. Then I have 24 cents left.

Math: (my starting money) - (7 cents to each beggar) = 24 cents

m - 7b = 24

See if you can put together another math statement from the second sentence, and then try and solve for b and m.

m-32=9(b)

4. ## 2nd equation

Is this correct?

If I were to give 7 cents to each of the beggars at my door, I would have 24 cents left. I lack 32 cents of being able to give them 9 cents each. How many beggars are there and how much money have I?

I was given the answers but am having a hard time making an equation of the problem. Help!!!

Lost

No its not correct

Lets say you have b beggars and m amount of money

For first part

m - 7b = 24 (money was left)

For second part

9b -m =32 (you lacked in money )

2b = 56

b= 28

m = 220