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Fill in the Blanks

Algebra X Level 3

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Algebra X Level 3

Fill in the Blanks

Test your algebra skills with Aljabar X (Level 3) in this fun and challenging Fill in the Blanks game!

Download the paper version to play

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About Fill in the Blanks
mathematics
algebra
22 times made

Created by

Nur Shafira Febrianti
Nur Shafira Febrianti
Indonesia

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Fill in the Blanks

Algebra X Level 3Online version

Test your algebra skills with Aljabar X (Level 3) in this fun and challenging Fill in the Blanks game!

by Nur Shafira Febrianti
1

donat kuelapis 3 1 roti 2 4

Pada suatu hari Rina , Lina dan Titik pergi ke toko kue . Di toko itu Rani membeli 2 buah roti , 3 kue lapis , dan sebuah donat . Kemudian Lina membeli 3 buah roti , sebuah kue lapis , dan 2 buah donat . Sedangkan Titik membeli 4 buah roti , 2 buah kue lapis , dan 3 buah donat .
Rani dan Lina masing - masing membayar dengan uang pecahan Rp . 50 . 000 , - dan masing - masing mendapatkan kembalian sebesar Rp . 17 . 500 , - dan Rp . 20 . 500 , - . Sedangkan Titik membayar seluruh kuenya sebesar Rp . 46 . 000 , 00 , - .
Jika kalian akan membeli sebuah roti , 2 buah kue lapis , dan 3 buah donat di toko kue tersebut , berapa uang yang harus kalian bayarkan ?
Informasi Diketahui :
* Rani membeli : buah roti ; 3 buah kue lapis ; 1 buah
* Lina membeli : 3 buah ; buah kue lapis ; 2 buah donat
* Titik membeli : buah roti ; 2 buah ; buah dona t

2

20500 50000 17500 46000

* Rani dan Lina membayar dengan uang Rp . , -
* Uang kembalian Rina : Rp . , -
Uang kembalian Lina : Rp . , -
* Titik membayar Rp . , -

3

donat kuelapis roti

Informasi Ditanyakan :

Berapa uang yang harus dibayar jika membeli sebuah , 2 buah , dan 3 buah ?

4

4y 2y z 4z x 3y 3y 3

Penyelesaian :
Misalkan :
x = roti
y = kue lapis
z = donat
Rani , Lina , dan Titik masing - masing membeli
Rani :
2 roti + 3 kue lapis + 1 donat
2x + +
Lina :
3 roti + 1 kue lapis + 2 donat
3x + y + 2z
Titik :
4 roti + 2 kue lapis + 3 donat
4x + +

5

20500 29500 46000 32500 29000 32000

Uang yang dibayarkan Rani , Lina , dan Titik
Rani membayarkan dengan uang pecahan sebesar Rp . 50000 , -
Uang yang dibayarkan mereka bertiga yaitu :
Rani : Rp . 50000 , - - Rp . 17500 , - = Rp . , -
Lina : Rp . 50000 , - - Rp . , - = Rp . , -
Titik : Rp . , -

6

3y 32500 29500 2z y 3z 2x 46000 3x

Persamaan Matematis :
Rani : 2x + + z = ( Persamaan 1 )
Lina : + y + 2z = ( Persamaan 2 )
Titik : 4x + 2y + = ( Persamaan 3 )

7

59000 3y 32500 y 2x 65000 35500 4x z 2y 2z 29500 z 0 5y

Persamaan ( 1 ) dan ( 2 )
2x + + = 32500 | x 2 | + 6y + =
3x + y + 2z = | x 1 | 3x + + 2z = 29500 -
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
x + 5y + 0 = 35500
x + = . . . ( Persamaan 4 )

8

9y 2x 51500 0 6y 97500 7y z 4x 46000 3z 32500 2y 10x

Persamaan ( 1 ) dan ( 3 )
2x + 3y + = | x 3 | 6x + + = 97500
4x + + 3z = 46000 | x 1 | + 2y + 3z = -
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
+ 7y + 0 = 51500
2x + = . . . ( Persamaan 5 )

9

3y 35500 2x x 19500 7y 51500 y 3 10y 650 5y x 35500

Persamaan ( 4 ) dan ( 5 )
+ 5y = | x2 | + = 71000
2x + = 51500 | x1 | 2x + 7y = -
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
= 19500
y = :
y =

10

32500 35500 300 x 2500 35500

Persamaan 4
+ 5y = 35500
x + 5 ( 6500 ) = 35500
x + = 35500
x = - 32500
x =

11

3y 32500 3000 18000 25000 700 z 7500 2z 19500 x

Persamaan 1
2x + + z = 32500
2 ( 3000 ) + 3 ( 6500 ) + = 32500
6000 + + z = 32500
25500 + z = 32500
z = - 25500
z =

12

7500 7000 3500 3000 6000 6500

Sehingga , harga sebuah roti adalah Rp . , - ;
Harga sebuah kue lapis adalah Rp . , - ;
Harga sebuah donat adalah Rp . , - ;

13

37000 6500 3 3 1 2 2 7000 3000 1 37000

Harga roti + kue lapis + donat
= ( ) + ( ) + ( )
= 3000 + 13000 + 21000
=

Sehingga , harga sebuah roti , 2 buah kue lapis , dan 3 buah donat adalah Rp . , -