Family party

Anna has 5 €, Anezka has 4,60 €, and for all the money, they want to buy desserts for a family party. They decide between cakes and a pinwheel: The pinwheel is € 0.40 more expensive than the cake, and the cakes can be bought for all the money by a third more than the pinwheels. How much does each dessert cost?

Correct answer:

t =  1.2
v =  1.6

Step-by-step explanation:


v=0.40+t
(5+4.60)v = (1+1/3)·(5+4.60)t

v=0.40+t
(5+4.60)·v = (1+1/3)·(5+4.60)·t

t-v = -0.4
38.4t-28.8v = 0

Pivot: Row 1 ↔ Row 2
38.4t-28.8v = 0
t-v = -0.4

Row 2 - 1/38.4 · Row 1 → Row 2
38.4t-28.8v = 0
-0.25v = -0.4


v = -0.4/-0.25 = 1.6
t = 0+28.8v/38.4 = 0+28.8 · 1.6/38.4 = 1.2

t = 6/5 = 1.2
v = 8/5 = 1.6

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you have a system of equations and looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: