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

A) How many pictures can the memory card hold??

B) How many pictures were originally on the memory card??

Question

10-12-2014
Mathematics

Answered

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

A) How many pictures can the memory card hold??

B) How many pictures were originally on the memory card??

Sagot :

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macio06 macio06 · Answer 1 · 2014-12-10T17:51:14-05:00

To get the answer first we have to find full numbers.
We can use proportion
2/3 ----------------------- 375
1 -------------------------- x
Crossmultiply now
2/3*x=375 /:2/3
x=[tex]375: \frac{2}{3} [/tex]
x=[tex]375* \frac{3}{2}=562 [/tex] - 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.
562*1/4=140 - its the asnwer B)

calculista calculista · Answer 2 · 2018-07-23T11:56:20-04:00

calculista calculista

23-07-2018

Let

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

we know that

[tex] \frac{2}{3} x=\frac{1}{4} x+375 [/tex]

Multiply by [tex] 12 [/tex] both sides

[tex] 8x=3x+375*12\\ 8x-3x=4,500\\ 5x=4,500\\ x=900 pictures [/tex]

originally on the memory card

[tex] \frac{1}{4} x\\ =\frac{1}{4} *900\\ =225 pictures [/tex]

therefore

the answer part a) is

[tex] 900 pictures [/tex]

the answer part b) is

[tex] 225 pictures [/tex]

Answer Link

Sagot :

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