Julieta and Savannah are planning to decorate Mr. Sarasohn's door for the door decorating contest. They go to a hardware store in order to stock up on the supplies they might need to successfully decorate. They buy duct tape, zip ties, plastic sheeting, a nail gun, rope, and a hot chocolate mug decorated with care bears. The price of all the items is 125.35. If the tax is 6%, what is the cost on the supplies after tax?

Solution

J u l i e t a an d S a v annah a re pl annin g t o d ecor a t e M r . S a r a so h n^{'} s d oor f or t h e d oor d ecor a t in g co n t es t . T h ey g o t o a ha r d w a re s t ore in or d er t o s t oc k u p o n t h e s u ppl i es t h ey mi g h t n ee d t o s u ccess f u ll y d ecor a t e . T h ey b u y d u c t t a p e, z i p t i es, pl a s t i c s h ee t in g, a nai l gu n, ro p e, an d a h o t c h oco l a t e m ug d ecor a t e d w i t h c a re b e a rs . T h e p r i ce o f a ll t h e i t e m s i s 125.35. I f t h e t a x i s 6%, w ha t i s t h e cos t o n t h e s u ppl i es a f t er t a x ?

Amount before tax : 118.25471 \dots

Solution steps

Translate the problem into an equation:

125.35 = x + 0.06 x

125.35 = x + 0.06 x : x = \frac{12535}{106}

\frac{12535}{106} = 118.25471 \dots

Amount before tax : 118.25471 \dots