Suppose you go shopping for a new futon bed for your room. the model you really like happens to be on sale for $400. it's original price is $700. what percent of the original price will you save if you purchase it?

If you purchase it, you are going to save 0.43 = 43% of the original price

Step-by-step explanation:

This problem can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, we have the following measures:

-The prices

-The percentage that the price represents.

As the value of one measure increases, so do the value of the other. It means that we have a direct rule of three.

The problem states that the model you really like happens to be on sale for $400. It's original price is $700.

You saved $700-$400 = $300.

What percent of the original price will you save if you purchase it?

How much is $300 of $700.

$700 - 1

$300 - x

700x = 300

If you purchase it, you are going to save 0.43 = 43% of the original price

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!