Jill is shopping at a department store that is having a sale this week. The store has advertised 15% off certain merchandise. Jill calculates the sales price by multiplying the regular price by 15% and then subtracting the amount from the regular price:SP = RP - 0.15(RP), where S = sales price and R = regular price. Find a simpler way for Jill to calculate the sales price as she shops. Will mark brainliest please show your work

The simpler way is:

SP = 0.85*RP

Step-by-step explanation:

Suppose that we have a given amount A. and now we take a given percentage, X%, off.

The new amount will be:

New amount = A - (X%/100%)*A = A*(1 - X%/100%)

This is the general formula.

In this case, we know that the store has advertised 15% off, then we have X% = 15%

Then if:

SP = sales price

RP = regular price

We will have the equation:

SP = RP - (15%/100%)*RP = RP - 0.15*RP

This is what Jill found, but if we use the general equation above, we will find that:

SP = RP*(1 - 15%/100%) = RP*(1 - 0.15) = RP*0.85

So we just need to multiply the regular price by 0.85 to get the sales price.

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