1. Angles of Triangles
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Introduce variables.
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To be able to use algebra, let's introduce variables and use these variables to write equations to express the information given in the question.
| Information | Expression |
|---|---|
| Number of video games Joey has. | j |
| Number of video games Solana has. | s |
| Number of video games Melissa has. | m |
| Joey has 4 more video games than Solana. | j=s+4 |
| Joey has half as many video games as Melissa. | j=m/2 |
| Together they have 24 video games. | j+s+m=24 |
Notice that we have two equations expressing j in terms of the other variables. We can rearrange these to express s and m in terms of j.
| Original Equation | Operation | Rearranged Equation |
|---|---|---|
| j=s+4 | Subtract 4 | s=j-4 |
| j=m/2 | Multiply by 2 | m=2j |