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!! Share with your friends Share 0 Shruti Tyagi answered this 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+2⇒k+2×54+5k=10k-4×2k⇒54k+5k2+108+10k=20k2-8k⇒5k2-20k2+54k+10k+8k+108=0⇒-15k2+72k+108=0⇒15k2-72k-108=0⇒35k2-24k-36=0⇒5k2-24k-36=0⇒5k2-30k+6k-36=0⇒5kk-6+6k-6=0⇒k-65k+6=0⇒k=6 and k=-65 (neglecting -ve value as cost can't be -ve)thus the value of k is 6 Regards 1 View Full Answer