The total price of 3 books and 3 pens is RM18. The total price of 4 book and 2 pens is RM19. Muna has RM7. Is her money enough to buy a book and a pen ? Give the answer with calculation.
Answers
Answer:
Yes, Muna would be able to buy a book and a pen.
Step-by-step explanation:
Solution:
Let's assign the variables to Book and Pen for better understanding,
Book's Price = x & Pen's Price = y
Total Price of 3 Books and 3 Pens is 18
Writing this in an equation form,
3x + 3y = 18
Dividing the equation by 3 we will get,
x + y = 6
Here x showing price of 1 Book and y showing price of 1 Pen.
The total price of a Book and a Pen is 6 and Muna has 7 so she would be able to buy a book and a pen.
Solution for understanding:
Let's assign the variables to Book and Pen for better understanding,
Book's Price = x & Pen's Price = y
Total Price of 3 Books and 3 Pens is 18
Writing this in an equation form,
3x + 3y = 18
Dividing the equation by 3 we will get,
x + y = 6 ....(1)
Total Price of 4 Books and 2 Pens is 19
Writing this in an equation form,
4x + 2y = 19
Dividing the equation by 3 we will get,
2x + y = 19/2 ....(2)
Now subtracting Eq.(1) From Eq. (2)
(2x-x) + (y-y) = (19/2) -(6)
x = (19-12)/2
x= 7/2
Substituting the value of x into any equation
say in Eq.(1)
x + y = 6
7/2 + y = 6
y = 6 - 7/2
y = 5/2
Therefore Price of Book = x = (7/2)
Price Of Pen = (5/2)
To buy a Book and a Pen, Total Money Required will be = 7/2 + 5/2 = 12/2 = 6
Muna will be able to buy a book and a pen because she has RM7 which is more than the total price of RM6.