Question

7. The price of a bike at Store A is 5/6 the price at store B. The price at store A is $150.60. Write and solve an equation to find out how much the bike is at store B. How much did you save by buying the bike at Store A.​

Answer 1

As a little tip that's helped me personally when I was taking algebra, making equations for word problems feels a lot easier when you "translate" equations you make into words to make sure that you're using the right equation.

Let's boil down what the question tells us. 5/6 of the price tag of a bike from Store B is the price of a bike from Store A, which is $150.60. Let's use the variable 'b' to represent the price of Store B's bike.

`(5)/(6)` * b = 150.60

Try "translating" the equation above. "5/6 of the price of a Store B bike is equal to 150.60." That seems about right, doesn't it? Let's isolate 'b' so we can get an official answer.

Multiply both sides by 6 to get rid of the denominator:

`(5b)/(6)` * 6 = 150.60 * 6

5b = 903.6

Divide both sides by 5 to get rid of b's coefficient:

`(5b)/(5)` =
`(903.6)/(5)`

b = 180.72

The price of a bike from Store B is $180.72

If you need any help on anything I just did here, don't be afraid to ask. Good luck on your Algebra endeavors!

- breezyツ