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BabaBlast [244]
4 years ago
9

Taylor spent $108 to build her lemonade stand and sells lemonade for $5 per cup. Kenny spent $45 to build his lemonade stand and

sells lemonade for $4
per cup. Aner how many cups of lemonade, x, Will Taylor have earned the same as Kenny?
Mathematics
1 answer:
Klio2033 [76]4 years ago
4 0
5x - 108 = 4x - 45
-4x -4x

x - 108 = -45
+ 108 +108

-45 +108 = 63

So x =63




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Answer:

There were 440 Standard version of songs downloaded in Web music store.

Step-by-step explanation:

Given,

Total number of songs downloaded = 1310

Total size of the downloaded songs = 4752 MB

Size of standard version of song = 2.1 MB

Size of high quality version of song = 4.4 MB

Solution,

Let the number of standard version  of song be 'x'.

And also let the number of high quality version of song be 'y'.

Now, total number of songs is the sum of total number of standard version  of song and total number of high quality version of song.

On framing the above sentence in equation form, we get;

x+y=1310\ \ \ \ \ equation\ 1

Now, Total size of the downloaded songs is the sum of total number of standard version of song multiplied with size of standard version  of song and total number of high quality version of song multiplied with size of high quality version of song.

On framing the above sentence in equation form, we get;

2.1x+4.4y=4752

Multiplying with 10 on both side, we get;

10(2.1x+4.4y)=4752\times10\\\\21x+44y=47520\ \ \ \ equation\ 2

Now multiplying equation 1 by 21, we get;

21(x+y)=1310\times21`\\\\21x+21y=27510\ \ \ \ equation\ 3

Now subtract equation 3 from equation 2, we get;

(21x+44y)-(21x+21y)=47520-27510\\\\21x+44y-21x-21y=20010\\\\23y=20010\\\\y=\frac{20010}{23}\\\\y=870

On substituting the value of y in equation 1, we get the value of x;

x+y=1310\\\\x+870=1310\\\\x=1310-870=440

Hence There were 440 Standard version of songs downloaded in Web music store.

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