okay so i was given a worksheet with 15 word problems. i couldn't solve 2 so if you could help me out it would be good..
If you ask Catwoman how many cats she has, she answers with the riddle, 'five-sixths of my cats plus seven.' how many cats does she have?
Abby, Britt, Christina, and Danny play with a deck of 32 cards. Danny deals them out unequally and then says, 'if we want to all have the same number of cards, abby should divide half her cards between britt and christina. then britt should do the same with christina and abby,, then christina should divide half of her cards between abby and britt.' how did danny initially distribute the cards??
thanks! im really stumped so anythhing can help.
why is it 13?
42 cats
x= cats
x=5/6x+7
simplify.
1x-5/6x
1/6x=7
multiply 6 from both sides
7*6=42
To solve the word problems, let's break them down step by step.
1. Catwoman's Cats:
In this problem, Catwoman gives us a riddle to figure out how many cats she has. She says, "five-sixths of my cats plus seven." To solve this, we need to set up an equation based on the given information. Let's represent the unknown number of cats with "x."
According to the riddle, "five-sixths of my cats" is equal to "x," and when we add seven, we get the total number of cats. Mathematically, this can be written as:
(5/6)x + 7 = total number of cats
To find the value of "x," we need to isolate it by subtracting 7 from both sides of the equation:
(5/6)x = total number of cats - 7
Simplifying further, we can multiply both sides by 6/5 to get the value of "x":
x = 6/5 * (total number of cats - 7)
Now, we can substitute values for the total number of cats to find the answer.
2. Unequal Card Distribution:
In this problem, Danny initially dealt out the cards unequally. To achieve equal distribution, certain cards need to be divided between Abby, Britt, and Christina multiple times.
Let's break it down step by step:
- First, Abby should divide half of her cards between Britt and Christina. This implies that Abby initially had twice as many cards as both Britt and Christina combined.
- Next, Britt should also divide half of her cards between Christina and Abby. Since Abby already shared half her cards, it means Britt has the same number of cards as Christina.
- Finally, Christina should divide half of her cards between Abby and Britt. This means Christina initially had twice as many cards as both Abby and Britt combined.
To summarize:
Abby: Twice the number of cards than both Britt and Christina combined.
Britt: The same number of cards as Christina.
Christina: Twice the number of cards than both Abby and Britt combined.
Using these clues, you can find the initial distribution of the cards.
I hope this explanation helps you solve the word problems! If you have any more questions, feel free to ask.