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The equation representing the given case with x as the cost of each binder is:
8x + 5 = 29
Solving the equation, we get the cost of each binder x = $3.
A linear equation in one variable is a relation between two expressions, used to determine the value of an unknown variable.
We are informed that Angel spends a total of $29 to order binders online. Angel bought 8 binders and spends $5 for shipping.
We are asked to form an equation in x, where x represents the cost of each binder.
Total money spent by Angel = (Number of binders bought)*(Cost of 1 binder) + Shipping fee
= 8*x + 5 = 8x + 5
This is equal to $29.
∴ The equation looks like this:
8x + 5 = 29
To solve this equation, firstly we subtract 5 from both sides,
8x + 5 - 5 = 29 - 5
or, 8x = 24
Now, we divide both sides by 8
8x/8 = 24/8
or, x = 3
∴ Cost of each binder = $3.
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