exam Maths Puzzle Numerical Ability

True or False: {[a, b^2] : a, b is an element of R}is a subspace of R^2. Please show ALL step so that I can do it myself next time. Thank you.

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One brine solution contains 6% salt and another brine solution contains 2% salt. How many pints of each solution should be mixed to produce 48 pints of brine solution that is 5% salt? Lauren has $1000 made up of only ten and twenty dollar bills. She has a total of 75 bills. How many of each kind does she have?