Question

the following questions highlight how changes in numbers can be measured in both absolute and relative, or percentage, terms. two stores in a mall are having promotions. the first, annies attic, is offering $10.00 off any purchase. the other, bettys breakables, is offering 40% off any purchase. each store offers a music box at a (non - discounted) price of $30 and a faux ming vase for $40.00, as summarized in the following table. determine the promotional price of each item at each store.

item	original price (dollars)	$10.00 off (dollars)	40% off (dollars)
a faux ming vase	$40.00	$	$	suppose a friend of yours wants to buy a crystal candlestick. you remember seeing this item at both annies attic and bettys breakables, but you do not remember the price. what advice should you give your friend in this situation? go to bettys breakables, if the price is above $25.00. go to bettys breakables, 40% off is always better than $10.00 off. go to bettys breakables, if the price is below $25.00. go to annies attic, $10.00 off is always better than 40% off. go to annies attic, if the price is above $25.00

Explanation:

Step1: Calculate music - box price at Annie's Attic

Subtract $10 from original price.
$30 - 10=20$

Step2: Calculate music - box price at Betty's Breakables

Find 40% of 30 and subtract from 30.
$30\times(1 - 0.4)=30\times0.6 = 18$

Step3: Calculate vase price at Annie's Attic

Subtract $10 from original price.
$40 - 10 = 30$

Step4: Calculate vase price at Betty's Breakables

Find 40% of 40 and subtract from 40.
$40\times(1 - 0.4)=40\times0.6=24$

Step5: Determine advice for unknown - priced item

Let the original price be $x$. At Annie's Attic, the price after discount is $x - 10$. At Betty's Breakables, the price after discount is $x\times(1 - 0.4)=0.6x$. Set $x - 10=0.6x$. Solve for $x$:
$x-0.6x = 10$, $0.4x=10$, $x = 25$. When $x>25$, $0.6x

Answer:

A music box: Annie's Attic: $20$, Betty's Breakables: $18$
A faux Ming vase: Annie's Attic: $30$, Betty's Breakables: $24$
Go to Betty's Breakables, if the price is above $25.00$.