book Maths Puzzle Numerical Ability

Find a basis for the subspace R^4 consisting of all vactors of the form (a + b, b+c, a-b-2c, b + c), what is the dimesion of the subspace?

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book Other Question

A grocer bought 12 bushels of Baldwin and McInotosh apples: Baldwins costs 95 cents a bushel, but McIntosh cost only 90 cents a bushel. If he paid $11.00 for the lot, how many bushels of each kind did he get? cos theta = 5/12 and tan theta is negative, find the exact value of sec theta.