Posted by **(:** on Wednesday, October 14, 2009 at 3:39pm.

Lydia wants to buy picnic tables, benches, and permanently installed grills. On one page she notices that 5 picnic tables, 10 benches, and 3 grills sell for $1330. On another page she sees that 20 picnic tables, 30 benches, and 20 grills sell for $5550. Finally, on a third page she sees that 2 picnic tables and 4 benches sell for $430. Help Lydia find the individual prices for the three items. Define three variables, write a system of equations, and solve to find the cost of each item. Justify your answer by showing how you solved the problem, and check the solution.

- Algebra -
**MathMate**, Wednesday, October 14, 2009 at 5:23pm
I will give you a kickstart.

Represent each of the items by a symbol, say:

T=picnic tables

B=bench

G=Grill

On the first page: " 5 picnic tables, 10 benches, and 3 grills sell for $1330. "

So 5T+10B+3G = 1330 .....(1)

Continue this way and you should end up with three equations in the three unknowns T, B and G.

Solve the system for Lydia.

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