Pilgrimage 36951

On the Matějska Pilgrimage, they had 40 prizes of two kinds in the wheel of fortune with a total value of 500 CZK. Four pieces of the first were worth CZK 60, and seven pieces of the second kind were worth CZK 80. Determine the number of pieces of each type.

Correct answer:

a =  12
b =  28

Step-by-step explanation:


a+b = 40
500 = a·60/4 + b·80/7

a+b = 40
420a+320b = 14000

Pivot: Row 1 ↔ Row 2
420a+320b = 14000
a+b = 40

Row 2 - 1/420 · Row 1 → Row 2
420a+320b = 14000
0.24b = 6.67


b = 6.66666667/0.23809524 = 28
a = 14000-320b/420 = 14000-320 · 28/420 = 12

a = 12
b = 28

Our linear equations calculator calculates it.



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