Three nuts and six bolts have a combined mass of 72g. Four nuts and five bolts have a combined mass of 66g. Find the mass of one nut and one bolt
1 answer:
3n + 6b = 72...multiply by 4 4n + 5b = 66 ...multiply by -3 ---------------- 12n + 24b = 288 (result of multiplying by 4) -12n - 15b = - 198 (result of multiplying by -3) ---------------add 9b = 90 b = 90/9 b = 10 .....each bolt is 10 grams 3n + 6b = 72 3n + 6(10) = 72 3n + 60 = 72 3n = 72 - 60 3n = 12 n = 12/3 n = 4.....each nut is 4 grams so the mass of 1 bolt and 1 nut = 10 + 4 = 14 grams <==
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