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Hoochie [10]
3 years ago
6

Latoya has a large collection of basketball cards. She gave half to a friend and a 1/4 to her brother. She still has 75 cards le

ft. How many did she start with?
Mathematics
2 answers:
Murljashka [212]3 years ago
4 0

Answer: She had 200 cards to start with

Step-by-step explanation:

Let x = the amount of cards she had initially. This means she had x cards to start with.

She gave half of the cards she had to a friend. This means she gave her friend x/2 cards. She is left with with (x-x/2) = x/2 cards.

She also gave 1/4 of the remaining cards to her brother. This means that she gave (1/4 × x/2) = x/8 cards to her brother.

Remaining number of cards will be x/2 - x/8 = (4x-x)/8 = 3x/8

She still has 75 cards left. This means

3x/8 = 75

Cross multiplying with 8, it becomes

3x = 75×8 = 600

x = 600/3 = 200

She had 200 cards to start with.

bixtya [17]3 years ago
4 0

Latoya started with 300 cards.

<u>Solution: </u>

Given that Latoya has a large collection of basketball cards

She gave half to a friend.  

She gave \frac{1}{4} to her brother.

Number of card left = 75

Need to calculate number of cards Latoya was having at starting.  Let’s assume number of cards at starting be represented by variable x.  As she gave half to a friend,

So number of cards given to friend =\frac{1}{2} \times x=\frac{x}{2}

Number of cards given to brother =\frac{1}{4} \times x=\frac{x}{4}

Number of cards left = number of cards at starting - number of cards given to friend - Number of cards given to brother

\begin{array}{l}{\Rightarrow 75=x-\frac{x}{2}-\frac{x}{4}} \\\\ {\Rightarrow 75=x-\left(\frac{x}{2}+\frac{x}{4}\right)} \\\\ {\Rightarrow 75=x-\left(\frac{2 x+x}{4}\right)} \\\\ {\Rightarrow 75=x-\left(\frac{3 x}{4}\right)} \\\\ {\Rightarrow 75=x-3 x=\frac{x}{4}} \\\\ {\Rightarrow 75 \times 4=x} \\\\ {\Rightarrow 300=x}\end{array}

Number of cards at starting = x = 300

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Step-by-step explanation:

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Your first point is (-5,0) because the bottom of the ladder is touching the ground (no y movement) and the bottom of the ladder is 5 feet from the base of the wall and ground (origin).

The second point is going to be (0, 21.42) because that is the height of the wall where the ladder is touching (x is at origin). The 21.42 is positive, because you can't have negative height.

Okay so far? :)

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slope= (y2-y1)/(x2-x1)

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slope= 4.284

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Hopefully that answers your question!

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During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she d
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Expression for the nth term:

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3 years ago
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Answer:

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The question here says that Taylor and Nora went to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks and 4 bags of popcorn Nora spends a total of $96.00 on 12 drinks and bag of popcorn.And we are now told to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations,we should determine and state the price of a drink, to the nearest cent .

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3 years ago
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