Bonbons 2

Kilo sweets will cost 260 CZK. The first type has a price per 320 kg, and the second type is 240 CZK per kg. How many kilos of both kinds of sweets need to prepare a 35 kg mixture?

Correct answer:

x =  8.75 kg
y =  26.25 kg

Step-by-step explanation:


320x + 240y = 260(x+y); x+y=35

320·x + 240·y = 260·(x+y)
x+y=35

60x-20y = 0
x+y = 35

Row 2 - 1/60 · Row 1 → Row 2
60x-20y = 0
1.33y = 35


y = 35/1.33333333 = 26.25
x = 0+20y/60 = 0+20 · 26.25/60 = 8.75

x = 35/4 = 8.75
y = 105/4 = 26.25

Our linear equations calculator calculates it.



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