21.0k views
5 votes
I NEED SRS HELP PLS PLS
A package pf snack mix weighs 4lb by weight 1 is pretzels

I NEED SRS HELP PLS PLS A package pf snack mix weighs 4lb by weight 1 is pretzels-example-1
User Acalypso
by
7.3k points

1 Answer

4 votes

Answer:

0.56 lb

Explanation:

You want the weight of pretzels if they constitute 14% of the weight of 4 lb of snack mix.

Equation

Let p represent the weight of pretzels. The relation in the problem statement is written in equation form as ...

pretzel weight = 14% of 4 lb

p = 0.14 × 4 lb

p = 0.56 lb . . . . . . . . . perform the multiplication

The weight of the pretzels in the trail mix is 0.56 lb.

__

Additional comment

In this context "of" usually means "times". That is "14% of 4 lb" means 14% × 4 lb".

The percent symbol (%) can be considered to be a shorthand way to write "/100". That is, you can replace the percent symbol with /100 and it doesn't change anything:

14% × 4 lb = 14/100 × 4 lb

(Similarly, ‰ means /1000.)

You will notice that we wrote the weight as "4 lb", not just "4". The "lb" can be treated as though it were a variable, and "4 lb" is the product of "4" and "lb". Keeping units with the numbers can help guard against mistakes. As with other variables, you can only add (or subtract) "like" terms, ones with the same units.

In general, a percentage is a "pure number." It has no units, because it is the ratio of quantities having like units: (0.56 lb)/(4 lb) = 0.14 = 14%. The like units cancel the same way like variables would cancel.

User Dsplatonov
by
7.9k points