Joshua quick made a deposit to his checking and recieved $50 in cash. His deposit slip shows a total deposit of $90. If Joshua deposited checks worth six times the value of the coins he deposited, how much did he deposit in (a) coins and (b) checks?

Respuesta :

Joshua deposited

(a). $12.85 in coins

(b). $77.14 in checks

Linear equation in one variable?

The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

Joshua deposited checks worth six times the value of the coins he deposited.

Let Joshua deposit the value of coins be x. Then the value of x will be 6x

There is total deposit of $90.

⇒ x + 6x = 90

⇒ 7x = 90

⇒ [tex]x = \frac{90}{7}[/tex] =$12.85

Therefore,

[tex]6x = \frac{90(6)}{7} =\frac{540}{7}[/tex] = $77.14

Hence, he deposit total $12.85 in coins and $77.14 in checks.

Learn more about linear equation here:

https://brainly.com/question/11897796

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