A company produces widgets. For aech batch of widgets,they use 2/5 of the raw material in the first step of production and 3/5 in the second step. If they have 500 kilograms of raw materials,how do they use in each step?(Pattern Recognition)
Answer (1)
AnswerFirst step: 200 kgSecond step: 300 kgSolution To find how much raw material the company uses in each production step when they start with 500 kilograms:They use 2/5 of the raw material in the first step.They use 3/5 of the raw material in the second step.First step usage[tex] \sf \dfrac{2}{5} \times 500 \\ \\ \sf = \dfrac{2 \times 500}{5} \\ \\ \sf = \dfrac{1000}{5} \\ \\ \boxed{ \sf = 200 \: kg}[/tex]Second step usage[tex] \sf \dfrac{3}{5} \times 500 \\ \\ \sf = \dfrac{3 \times 500}{3} \\ \\ \sf = \dfrac{1500}{5} \\ \\ \boxed{ \sf = 300 \: kg}[/tex]Check[tex] \sf200 + 300 = \boxed{ \sf500}[/tex]So they use 200 kg in the first step and 300 kg in the second step.
