Question

If dave buys a sample of 70 nails and 6 are bad and 64 are good and he needs 2500 good nails how many nails should dave buy

Answer 1

Answer:

$Dave\ should\ buy\ 2735\ nails.$

Step-by-step explanation:

$Number\ of\ nails=70\\\\Good\ nails=64\\\\percentage\ of\ good\ nails=\frac{good\ nails}{total\ nails}\times 100\\\\percentage\ of\ good\ nails=\frac{64}{70}\times 100\\\\percentage\ of\ good\ nails=91.42857\%\\\\Let\ for\ 2500\ good\ nails\ he\ has\ to\ buy\ x\ nails\\\\91.42857\%\ of\ x=2500\\\\\frac{91.42857}{100}\times x=2500\\\\x=\frac{2500}{0.9142857}=2734.375\\\\x\approx 2735$