GerdaBeddingfield22
Answered

A digital camera memory card is 1/4 full. The card is 2/3 full when 375 more pictures have been taken.

AHow many pictures can the memory card hold??

BHow many pictures were originally on the memory card??

Verified Answer :

To get the answer first we have to find full numbers.
We can use proportion
2/3 ----------------------- 375
1 -------------------------- x
Crossmultiply now
2/3x=375           /:2/3 
x=\(375: \frac{2}{3}\) 
x=\(375* \frac{3}{2}=562\) - its the answer A)
Now we have to find how much were originally on the card.
To get the answer we can just multiply 562 times 1/4.
5621/4=140 - its the asnwer B)

calculista

Let

x--------> total of images that the memory card can contain


we know that

\(\frac{2}{3} x=\frac{1}{4} x+375\)

Multiply by \(12\) both sides

\(8x=3x+375*12\\ 8x-3x=4,500\\ 5x=4,500\\ x=900 pictures\)


originally on the memory card

\(\frac{1}{4} x\\ =\frac{1}{4} *900\\ =225 pictures\)

therefore


the answer part a) is

\(900 pictures\)


the answer part b) is

\(225 pictures\)

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