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Fill in the Blanks

Algebra X Level 2

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Algebra X Level 2

Fill in the Blanks

Test your algebra skills with Aljabar X (Level 2) in this fun and challenging Fill in the Blanks game!

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About Fill in the Blanks
mathematics
algebra
18 times made

Created by

Nur Shafira Febrianti
Nur Shafira Febrianti
Indonesia

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Fill in the Blanks

Algebra X Level 2Online version

Test your algebra skills with Aljabar X (Level 2) in this fun and challenging Fill in the Blanks game!

by Nur Shafira Febrianti
1

1 . Diketahui harga 4kg anggur , 2kg semangka , dan 1kg apel adalah Rp . 54 . 000 , - . Harga 1kg anggur , 1kg semangka , dan 2kg apel adalah Rp . 43 . 000 , - . Harga 3kg anggur , 1kg semangka , dan 1kg apel adalah Rp . 37 . 000 , - . Maka berapa harga masing per kg dari anggur , semangka , dan apel ?
Diketahui :
x =
y =
z =
4x + + z = 54000 . . . ( Persamaan 1 )
+ y + 2z = 43000 . . . ( Persamaan 2 )
3x + y + z = 37000 . . . ( Persamaan 3 )
Ditanya :
x = ?
y = ?
z = ?

2

Dijawab :
Persamaan ( 1 ) dan Persamaan ( 2 )
4x + 2y + z = 54000 | x 2 | 8x + + 2z =
x + y + 2z = 43000 | x 1 | x + y + = 43000 _
_________________________________________________
+ 3y = . . . ( persamaan 4 )

3

Persamaan ( 2 ) dan Persamaan ( 3 )
x + y + 2z = | x 1 | x + + 2z = 43000
3x + y + z = 37000 | x | + 2y + = -
__________________________________________________
- - y = - . . . ( persamaan 5 )

4

Persamaan ( 4 ) dan ( 5 )
7 x + 3 y = | x 1 | 7x + = 65000
- 5 x - y = - 31000 | x 3 | - ? 3y = - +
_____________________________________________
- x = - 28000
x = ( - ) : ( - )
x =

Persamaan ( 4 )
7x + 3y = 65000
7 ( ) + 3y = 65000
24500 + 3y = 65000
3y = 65000 ? 24500
3y =
y = : 3
y =

5

Didapat dari hasil sebelumnya yaitu
x = 3500
y = 13500

Persamaan ( 1 )
4x + 2y + z = 54000
4 ( ) + 2 ( ) + z = 54000
+ + z = 54000
+ z = 54000
z = 54000 ?
z =

Jadi harga 1kg anggur adalah Rp . , - . Harga 1kg semangka adalah Rp . , - . Dan Harga 1kg apel adalah Rp . , - .

6

2 . Adi membeli 1 bulpoin , 3 pensil , dan 2 buku tulis dengan harga Rp . 15 . 700 , - . Toni membeli 2 bulpoin , 1 pensil , dan 1 buku tulis dengan harga Rp . 9 . 200 , - . Dan Hani memberi 2 bulpoin , 3 pensil , dan 1 buku tulis dengan harga Rp . 11 . 000 , - . Jika Maya ingin membeli 3 bulpoin , 1 pensil , dan 1 buku tulis , maka berapa uang yang harus dibayar maya ?
Diketahui :
x =
y =
z =
x + 3y + = 15700 . . . ( Persamaan 1 )
2x + + z = . . . ( Persamaan 2 )
2x + 3y + z = 11000 . . . ( Persamaan 3 )
Ditanya :
3x + y + = ?

7

Dijawab :
Persamaan ( 1 ) dan Persamaan ( 2 )
x + + 2z = 15700 | x | x + 3y + 2z = 15700
2x + + z = 9200 | x 2 | + 2y + = -
______________________________________________
- 3x - y = - 2700 . . . ( Persamaan 4 )

8

Persamaan ( 2 ) dan Persamaan ( 3 )
2x + y + z = 9200
2x + 3y + z = 11000 -
_______________________
- = -
= ( - ) : ( - )
y =

Persamaan ( 4 )
- 3x + y = - 2700
- 3x + = - 2700
- 3x = - 2700 ?
- 3x = - 3600
x = ( - ) : ( - )
x =

9

Didapat dari hasil sebelumnya yaitu
x = 1200
y = 900

Persamaan ( 1 )
x + 3y + 2z = 15700
1200 + 3 ( ) + 2z = 15700
1200 + + 2z = 15700
+ 2z = 15700
2z = 15700 ?
=
z = : 2
z =

10

Didapat dari hasil sebelumnya yaitu
x = 1200
y = 900
z = 5900

3x + y + z = 3 ( ) + + 5900
= + 900 +
=
Jadi uang yang harus dibayar oleh Maya untuk membeli 3 bulpoin , 1 pensil , dan 1 buku tulis adalah Rp . , -

11

3 . Bu sari membeli 3kg daging , 1kg udang , dan 2kg telur dengan harga Rp . 305 . 000 , - . Bu Eka membeli 1kg daging , 2kg udang , dan 1kg telur dengan harga Rp . 131 . 000 , - . Bu Indah membeli 2kg daging , 3kg udang , dan 1kg telur dengan harga Rp . 230 . 000 , - . Jika Bu Yuli ingin membeli 1kg daging , 2kg udang , dan 2kg telur dan Bu Yuli membayar uang sebesar Rp . 200 . 000 , - . Maka berapa uang kembalian yang akan didapat oleh Bu Yuli ?
Diketahui :
x =
y = udang
z =
3x + y + = . . . ( Persamaan 1 )
+ 2y + z = . . . ( Persamaan 2 )
2x + + = 230000 . . . ( Persamaan 3 )
Ditanya :
200000 ? ( + + 2z ) = ?

12

Dijawab :
Persamaan ( 1 ) dan Persamaan ( 2 )
3 x + y + 2 z = | x 1 | + + 2z = 305000
x + 2 y + z = 131000 | x | 2x + + 2z = -
_______________________________________________
? = . . . ( Persamaan 4 )

Persamaan ( 2 ) dan Persamaan ( 3 )
x + 2y + z = 131000
2x + 3y + z = 230000 -
______________________
- - = - ( Persamaan 5 )

13

Persamaan ( 4 ) dan Persamaan ( 5 )
x ? 3y = 43000
- x ? y = - 99000 +
__________________
- = - 56000
y = ( - ) : ( - )
y =

Persamaan ( 4 )
x ? 3y = 43000
x ? 3 ( ) = 43000
x ? = 43000
x = + 42000
x =

14

Didapat dari hasil sebelumnya yaitu
x = 85000
y = 14000

Persamaan ( 1 )
3x + y + 2z = 305000
3 ( ) + + 2z = 305000
255000 + + 2z = 305000
+ 2z =
2z = 305000 ? 269000
=
z = :
z =

15

Didapat dari hasil sebelumnya yaitu
x = 85000
y = 14000
z = 18000

x + 2y + 2z = + 2 ( ) + 2 ( )
= 85000 + +
=
? ( x + 2y + 2z ) = 200000 ?
=
Jadi uang kembalian yang diterima oleh Bu Yuli setelah membeli 1kg daging , 2kg udang , dan 2kg telur adalah Rp . , - .

 
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