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Algebra For 8th Graders
HELP
Equations For 8th Graders
How do I write this problem as an equation so I can solve it?
An artist is going to sell two sizes of prints at an art fair. The artist will charge $20 for a small print and $45 for a large print. The artist would like to sell twice as many small prints as large prints. The booth the artist is renting for the day costs $510. How many of each size print must the artist sell to break even?
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Solution from Algebra-class.com
We need to write two equations.
1. The cost
2. The number of small prints based on large prints.
Let x = number of small prints
Let y = number of large prints
1. Our first equation is about the pricing:
20x + 45 y = 510. (It's $20 for a small print and $45 for a large print. Since he wants to break even, this must equal the cost of renting the space which is $510.
2. The second equation is about the number of prints. The problem says: 'The artist would like to sell twice as many small prints as large prints'.
So, x = 2y
Now that you have two equations, you can solve the system of equations. The best way to solve this system is to use substitution.
Hope this helps! Algebra Worksheets & Printables
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