The professor is decorating his home and wants to buy some plants. he is interested in three types of plants costing $7, $10, and $13. his budget is $150 and wants to buy 15 plants. translate the information into a system of two linear equations in three variables. find all solutions of the system. specify at least three of his options.

Question

Kira Figueroa

Mathematics

16 October, 22:35

The professor is decorating his home and wants to buy some plants. he is interested in three types of plants costing $7, $10, and $13. his budget is $150 and wants to buy 15 plants. translate the information into a system of two linear equations in three variables. find all solutions of the system. specify at least three of his options.

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Destiney Moses · Answer 1

X quantity of first plant which cost $7

y quantity of second plant which cost $10

z quantity of third plant which cost $13

{x+y+z=15

{7x+10y+13z=150

There are 8 solutions with spending $150

Five of them are:

1x$7 + 13x$10 + 1x$13

2x$7 + 11x$10 + 2x$13

3x$7 + 9x$10 + 3x$13

5x$7 + 5x$10 + 5x$13

6x$7 + 3x$10 + 6x$13