SOLUTION: You have 20 stampes that have a total value of $6.62. Some of the stamps are worth $0.24 each and others are worth $0.37 each. How many stamps of each type do you have? Please sh

Question 59288: You have 20 stampes that have a total value of $6.62. Some of the stamps are worth $0.24 each and others are worth $0.37 each. How many stamps of each type do you have? Please show how to solve this question.
Found 2 solutions by funmath, checkley71:
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
You have 20 stampes that have a total value of $6.62. Some of the stamps are worth $0.24 each and others are worth $0.37 each. How many stamps of each type do you have?
It's easier to deal with money in terms of cents to avoid decimals.
Let the number of 24 cent stamps be:x
then because there is 20 stamps all together the number of 37 cent stamps is:20-x
The total value is: 662 cents
:
24x+37(20-x)=662
24x+740-37x=662
-13x+740=662
-13x+740-740=662-740
-13x=-78
-13x/-13=-78/-13
x=6
The number of 24cent stamps: x=6
The number of 37 cent stamps:20-x=20-6=14
:
Check, if you had 6 $.24 stamps and 14 $.37 stamps would the value be $6.62?
6(.24)+14(.37)=6.62 ?
1.44+5.18=6.62 ?
6.62=6.62 !!! We're right!!!
Happy Calculating!!!
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
LETX=THE NUMBER OF $.24 CENT STAMPS
LET(20-X)=THE NUMBER OF $.37 CENT STAMPS
.24X+.37(20-X)=6.62
.24X+7.40-.37X=6.62
-.13X=6.62-7.40
-.13X=-.78
X=-.78/-.13
X=6 $.24 CENT STAMPS THEN
20-6=14 $ .37 CENT STAMPS
PROOF
.24*6+.37*14=6.62
1.44+5.18=6.62
6.62=6.62

RELATED QUESTIONS
You have 100 stamps that have a total value of $31.02. Some of the stamps are worth 24... (answered by Cromlix)
April has 100 stamps - some of which are worth 20 cents each and the rest are worth 17... (answered by josmiceli)
Hey! First of all, thanks for taking the time to read this! Another math student needs... (answered by stanbon)
Post card stamps are $.20 each. While letter stamps cost $.33 each. If you have 50 stamps (answered by stanbon)
Bobbi has nine stamps, some of which are 32-cent stamps and some of which are 23-cent... (answered by josmiceli)
Suppose you have 33 coins. Some are quarters and some are dimes. The coins are worth a... (answered by josgarithmetic)
Postcard stamps cost 33¢ and letter stamps cost 46¢. You have 50 stamps worth $25.70. (answered by josgarithmetic)
Hi Bob has $151.20 worth of stamps.35/100 are 10cent stamps the rest are 50 cent stamps. (answered by math_tutor2020,greenestamps)
if you have a bunch of 10 cent and 5 cent stamps, and you know that there are 20 stamps... (answered by solver91311)