SOLUTION: Hi, I am struggling with the whole alegbra concept so have two questions: 1. Eight washington stamps and two lincoln stamps cost $2.80; three washingston stamps and four lincoln

Question 45680: Hi, I am struggling with the whole alegbra concept so have two questions:
1. Eight washington stamps and two lincoln stamps cost $2.80; three washingston stamps and four lincoln stamps cost $2.35; Find the cost of each stamp and show the solution equations?

2. One number is 18 more than another, and the sum of the smaller number is twice the larger number is 45. What are the two numbers.
If someone could help I would be very happy. Thank you.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. Eight washington stamps and two lincoln stamps cost $2.80; three washingston stamps and four lincoln stamps cost $2.35; Find the cost of each stamp and show the solution equations?
Let W be the cost of the Washington stamps and L be the cost of the Lincoln.
EQUATIONS:
1st: 8W + 2L=280 cents
2nd: 3W + 4L=235 cents
Multiply the 1st equation by 2 to get:
3rd: 16W + 4L = 560
Subtract the 2nd equation from the 3rd to get:
4th: 13W=325
W= 25 cents (this is the cost of each Washington stamp)
Substitute this value in 1st or 2nd to find L, as follows:
3(25)+4L=235
75+4L=235
4L=160
L=40 cents (this is the cost of each Lincoln stamp)
-------------------------------------------------------
2. One number is 18 more than another, and the sum of the smaller number and twice the larger number is 45. What are the two numbers.
Let the smaller number be "x".
Then the larger number is "x+18"
EQUATION:
smaller + 2(larger) = 45
x + 2(x+18) = 45
x + 2x + 36 = 45
3x = 9
x = 3 (this is the smaller number)
x+18 = 21 (this is the larger number)
------------------------------------------------
Cheers,
Stan H.

RELATED QUESTIONS
A student buys 5-cent, 10-cent, and 15-cent stamps, with a total value of $6.70. If the... (answered by solver91311)

James bought eight postage stamps for which he paid $18.40. Some were 1 cent stamps and... (answered by ankor@dixie-net.com)

A stamp collection consists of 5, 13, and 18 cent stamps. The number of 13 cent stamps... (answered by edjones)

A stamp collection consists of 5, 13, and 18 cent stamps. The number of 13 cent stamps is (answered by Fombitz)

I am working on Systems of Equations. Jackie bought some stamps for $15.16. Some were... (answered by scott8148)

I am not understanding two questions on a teacher generated worksheet. The problems are... (answered by stanbon)

i have 4 one cent stamps 3 five cent stamps and 3 twenty five cent stamps. how many... (answered by ikleyn)

Hi On Wednesday Bob had 150 stamps. On Tuesday he lost 16 stamps and had given away 1/6... (answered by josgarithmetic,greenestamps)

5. Jane has twelve stamps worth 25 cents each and eight stamps worth 13 cents each? She... (answered by ewatrrr)