[Math] Solving the system- word problem

algebra-precalculus

It costs $\$ 0.05$ to send a text message and $\$ 0.10$ to send a picture on your cell phone. You spend $\$ 4.00$ and send $5$ more text messages than pictures.

How many text messages $x$ and pictures $y$ did you send?

Best Answer

Hint: Try to translate the question from English into Mathematics. (I'll do everything in cents)

$$400=5x+10y$$

I got this from "You spend $\$4.00$" and "$\$0.05$ to send a text message and $\$0.10$ to send a picture". Also, we have

$$x=y+5$$

This is from "$5$ more text messages than pictures".

So, with this information, can you solve it?

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