Question

En la tienda A. un teléfono celular cuesta $10 menos que el doble del costo de mismo teléfono celular en la tienda B. si el teléfono cuesta $44.99 en la tienda B, cuanto cuesta el teléfono en la tienda A?

Answer 1

We will investigate the how to construct an algebraic equation and solve for a variable considering the word problem.

We will denote the cost of the cell phone at Store A as a variable:

`\text{Cost of Cell phone ( A ) = x}`

Similarly, the cost of cell phone at store B is given as follows:

`\text{Cost of Cell phone ( B ) = \$44.99}`

We will deconstruct the rest of the problem statement and translate into an algebraic equation that would relate the cost of cell phones at each store.

We are given that:

`\text{Cost of cell phone at store A is \$10 less than twice the cost of cell phone at store B.}`

So if we translate the above statement in terms of ( x ) and the cost of cell phone at store B we have:

`\text{Cost of Cellphone ( A ) = 2 }\cdot\text{ ( 44.99 ) - 10}`

Therefore,

`x\text{ = 2}\cdot44.99\text{ - 10}`

We will use the above equation and solve for the variable ( x ) by evaluating the right hand side of the " = " sign as follows:

`\begin{gathered} x\text{ = 89.98 - 10} \\ x\text{ = \$79.98} \end{gathered}`

Therefore, the cost of the cell phone at Store A is:

`\text{Cost of cell phone at Store A = \$79.98}`