Including a 19% sales tax, a tailored suit costs $357. Find the original cost of the tailored suit.

A) Write an equation that can be used to solve this question. Use x as the original cost and express any percentage in decimal form.

B) Solve your part [A] equation for x to find the original price of the tailored suit.

Question

Fernando Terrell

Mathematics

10 October, 05:12

Including a 19% sales tax, a tailored suit costs $357. Find the original cost of the tailored suit.

A) Write an equation that can be used to solve this question. Use x as the original cost and express any percentage in decimal form.

B) Solve your part [A] equation for x to find the original price of the tailored suit.

+1

Answers (1)

Know the Answer?

Marlie Wilcox · Answer 1

119/100 = 357/X

Step-by-step explanation:

since 357 is the price with the extra 19% tax, you can put 119 and 357 as numerators in a fraction because thats the price % of total cost with the tax, then have the denominators as the normal price without tax. so 119/100 bc 119 is the total cost % with tax, and 100 as the normal cost %. same for the opposite side, 357/X. 357 being the price with the tax and X being the price without the tax. so you just cross multiply to find X. so 100 * 357 (35,700) then divide the answer of that by 119 (35,700/119) to find X (300)