Adam went shopping for a new pair of pants because of a sale. The store was offering a 50% discount. If the price on the tag was 32, what would be the price after the discount but before tax, to the nearest dollar and cent?

Solution

A d am w e n t s h o pp in g f or a n e w p ai r o f p an t s b ec a u se o f a s a l e . T h e s t ore w a s o ff er in g a 50% d i sco u n t . I f t h e p r i ce o n t h e t a g w a s 32, w ha t w o u l d b e t h e p r i ce a f t er t h e d i sco u n t b u t b e f ore t a x, t o t h e n e a res t d o ll a r an d ce n t ?

Amount after discount : 16

Solution steps

Translate the problem into an equation:

x = 32 - 0.5 \cdot 32

x = 32 - 0.5 \cdot 32 : x = 16

Amount after discount : 16