a budget of $75.00 . wants to buy a shirt and shorts. The shirt is $34 with tax. The shorts have a 7% tax added to the ticketed price. How much can the ticketed price of the shirts be?

Question

Y intercept word problem Asia is going shopping with a budget of $75.00 . She wants to buy a new shirt and shorts.  The shirt is $34 with tax. The shorts will have a 7% sales tax added to the ticketed price. How much can the ticketed price of the shirts be?

Answer 1

We know the price of the shirt includes tax, so we can take $34 off $75 to give us $41.

So we have $41 to spend on the shorts. Let’s say the cost $S, but the price paid must include the sales tax of 7% or 0.07. So 1.07S≤41 and S≤41/1.07=$38.318. Therefore the label on the shorts must be no more than $38.31 or $38.32. The 7% tax applied to these prices gives us $40.9917 or $41.0024. The store may round up to the next cent, so Asia could be charged $41.00 or $41.01. If the store is fair she should be charged $40.99 or $41.00. To be on the safe side $38.31 would be the better choice for the maximum price to stay in budget.