The cost of 2k articles is (54 + 5k) while the cost of (k + 2) articles is (10k – 4). Find k.
Pls solve it whole steps and no links pls!!

Dear student,

Cost of 2k articles=54+5kCost of 1 articles=54+5k2kCost of (k+2) articles = 10k-4Cost of 1 articles=10k-4k+2Equating the cost of 1 article we get,54+5k2k=10k-4k+2k+2×54+5k=10k-4×2k54k+5k2+108+10k=20k2-8k5k2-20k2+54k+10k+8k+108=0-15k2+72k+108=015k2-72k-108=035k2-24k-36=05k2-24k-36=05k2-30k+6k-36=05kk-6+6k-6=0k-65k+6=0k=6 and k=-65 (neglecting -ve value as cost can't be -ve)thus the value of k is 6

Regards

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