12. A mathematical market trader packages fruit in three sizes. An

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Ellen Ann<3

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Individual bag holds 1 apple and 2 bananas;? 12. A mathematical market trader packages fruit in three sizes. An Individual bag holds 1 apple and 2 bananas; a Jumbo bag holds 4 apples and 3 bananas; and a King-Size bag holds 8 apples and 7 bananas. She draws two vector arrows a and b to represent an apple and a banana respectively, and then represents the three sizes of bag by vectors I=a+2b, J=4a+3b and K=8a+7b. Find numbers s and t such that K=sI+tJ.
By midday she has sold all her King-size bags, but she has plenty of Individual and Jumbo bags left. She decides to make up some more King-size bags by using contents of the other bags. How can she do this so that she has no loose fruit left over?
 
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