SOLUTION: Use Matrices to solve this problem. Baskets of fruit are prepared for sale at a festival. The basic basket has two apples, two peaches and three mangoes. The deluxe basket has s

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Use Matrices to solve this problem. Baskets of fruit are prepared for sale at a festival. The basic basket has two apples, two peaches and three mangoes. The deluxe basket has s      Log On

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Question 1183602: Use Matrices to solve this problem.
Baskets of fruit are prepared for sale at a festival. The basic basket has two apples, two peaches and three mangoes. The deluxe basket has six apples, three peaches and four mangoes. The super deluxe basket has ten apples, five peaches and five mangoes. Altogether there are 420 apples, 310 peaches and 430 mangoes. How many of each type of basket were made up?

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
This is just to help get started:
FRUIT           APPLES     PEACHES   MANGOS

basic             2          2        3

deluxe            6          3        4

super deluxe     10          5        5

TOTALS         420         310      430

Variables, b, d, and z
z for how many super deluxe baskets

Looking at the basic baskets,
%282%2F18%29b%2B%286%2F18%29d%2B%2810%2F18%29z=420
Do similarly for the other two baskets, and you'll have three equations in three unknowns, and you can setup matrices and do what you need to with them.