Everyone 5965

We bought towels for CZK 432. If there were six more towels for the same money, everyone would be 66 CZK cheaper. How many towels were there?

Correct answer:

n =  3.9479

Step-by-step explanation:

n   c = 432 (n+6)   (c66) = 432 432/(n+6) + 66 = c n (432/(n+6) + 66) = 432  n (432+66 (n+6))=432 (n+6)  n (432+66 (n+6))=432 (n+6) 66n2+396n2592=0 66=2311 396=223211 2592=2534 GCD(66,396,2592)=23=6  11n2+66n432=0  a=11;b=66;c=432 D=b24ac=662411(432)=23364 D>0  n1,2=2ab±D=2266±23364=2266±6649 n1,2=3±6.947858 n1=3.947857747 n2=9.947857747  n>0 c=432/(n+6)+66=432/(3.9479+6)+66=138 kc n=n1=3.9479

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