Marie went out for dinner with her friend. The dinner cost $24. Tax is 5% and Marcie wants to leave a 15% tip (she computed tip on the cost of dinner and tax.) How much will Marcie pay all together for
dinner?

$28.83

Step-by-step explanation:

We will use:   and then use cross multiplication.

Let's solve the tax first.

We have:

tax (percent) = 5%

dinner cost (whole) = $24

we want to solve for "part". Lets set the equation up before we plug anything in

now plug everything in:

part = $1.20

what does this mean?

Well it actually means $1.20 is the amount of money we pay in tax.

So we add that to our total.

24 + 1.20 = $25.20

Next we will do the tip. We will use the same equation as above:

tip (percent) = 15%

dinner cost (whole) = $25.20

plug everything in:

part = $3.63

That means we pay an extra 3.63 as a tip. So lets add that to our dinner cost:

25.20 + 3.63 = $28.83

So we end up paying $28.83 for our dinner in total.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

step-by-step explanation: