A baseball bat and 8 baseballs cost $163.25. The bat costs $106.45. What is the cost c of one baseball?

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Answer 1 · 2018-05-15T12:25:39

See a solution process below:

Let's call the cost of 1 baseball: $b$ $b$

We can then write the follow equation for the word problem as:

$$ 106.45 + 8 b = $ 163.25$ $$106.45 + 8b = $163.25$

We can now solve for $b$ $b$ to find the cost of 1 baseball:

$$ 106.45 - $ 106.45 + 8 b = $ 163.25 - $ 106.45$ $$106.45 - color(red)($106.45) + 8b = $163.25 - color(red)($106.45)$

$0 + 8 b = $ 56.80$ $0 + 8b = $56.80$

$8 b = $ 56.80$ $8b = $56.80$

$\frac{8 b}{8} = \frac{$ 56.80}{8}$ $(8b)/color(red)(8) = ($56.80)/color(red)(8)$

$(color(red)(cancel(color(black)(8)))b)/cancel(color(red)(8)) = $7.10$

$b = $7.10$

One baseball cost $7.10