MATH 1201 Unit 3 Challenge 3: College Algebra In Context

MATH 1201 Unit 3 Challenge 3: College Algebra In Context Riley wants to make 100 mL of a 25% saline solution but only has access to 12% and 38% saline mixtures. Which of the following system of equations correctly describes this situation if represents the amount of the 12% solution used, and represents the amount of the 38% solution used? • b.) • b.)Correct.One equation in the system will represent the relationship between the quantity and the concentration: 0.12x+0.38y = 0.25(100). Here each quantity, x and y, are multiplied by their respective percent concentrations, 12% and 38%. Also, when we add these two together, they should be 100 mL of 25% solution, which can be expressed as 0.25(100). The other equation needs to relate the quantities. Together, the amount of 12% and the amount of 38% needs to total 100 mL. So x + y = 100. Makayla wants to make 200 mL of a 18% saline solution but only has access to 8% and 24% saline mixtures. 2 of 16 Which of the following system of equations correctly describes this situation if represents the amount of the 8% solution used, and represents the amount of the 24% solution used? • a.) a.)Correct. One equation in the system will represent the relationship between the quantity and the concentration: 0.08+0.24 = 0.018(200). Here each quantity, x and y, is multiplied by their respective percent concentrations, 8% and 24%. Also, when we add these two together, they should be 200 mL of 18% solution, which can be expressed as 0.18(200). The other equation needs to relate the quantities. Together, the amount of 8% and the amount of 24% needs to total 200 mL. So x + y = 200. Connor has $100,000 and wants to get an 8% return total at the end of the year. He can invest in two different stocks. One of the stocks will yield a 6% return per year and the second will yield a 8.5% return per year. Which of the following system of equations correctly describes this situation if represents the amount invested in the 6% stock, and represents the amount invested in the 8.5% stock? c.) 3 of 16 .)Correct. One equation in the system will represent the relationship between the quantity and the percent: 0.06x+0.085y = 0.08(). Here each quantity, x and y, is multiplied by their respective percents, 6% and 8.5%. Also, when we add these two together, they should equal 8% of $100,000, which can be expressed as 0.08(). The other equation needs to relate the quantities. Together, the amount invested in 6% return and the amount invested in 8.5% return needs to equal the total amount invested, which is $100,000. So x + y = .