Sales of products

For 80 pieces of two quality products a total sales is 175 Eur. If the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold?

Correct answer:

a1 =  15
a2 =  5
a3 =  3
a4 =  1

Step-by-step explanation:

a+b=80 n a+2b=175 n a+2 (80a)=175 n a+1602 a=175 a(n2)=15 n1=3 a1=15/(n12)=15/(32)=15
n2=5 a2=15/(n22)=15/(52)=5
n3=7 a3=15/(n32)=15/(72)=3
n4=17 a4=15/(n42)=15/(172)=1

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