Together 7309

Marta bought 10 kg of rice and 25 kg of flour for 40 euros. A kilogram of flour and a kilogram of rice together cost 1.80 euros. How much does 1 kg of each type of goods cost?

Correct answer:

a =  0.3333
b =  1.4667

Step-by-step explanation:


10a + 25b = 40
a+b = 1.80

10·a + 25·b = 40
a+b = 1.80

10a+25b = 40
a+b = 1.8

Row 2 - 1/10 · Row 1 → Row 2
10a+25b = 40
-1.5b = -2.2


b = -2.2/-1.5 = 1.46666667
a = 40-25b/10 = 40-25 · 1.46666667/10 = 0.33333333

a = 1/3 ≈ 0.333333
b = 22/15 ≈ 1.466667

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