# ALgebra

posted by .

sam has \$3.50 in dimes and quarters. he has 23 quarters all together. how many of each does he have?

will has \$2.40 in dimes and nickels. he has 30 coins all together. how many of each does he have?

• ALgebra -

1. Your prob. says sam has 23qtrs,but
I'm assuming you meant 23 coins; he can't have 23 qtrs if he only has 3.50.

x dimes, y qtrs,
Eq1: x + y = 23 coins,

0.10x + 0.25y = 3.50,
Multiply both sides by 20:
Eq2: 2x + 5y = 70.

Solve the 2 Eqs:
x + y = 23,
2x + 5y = 70,
Multiply the 1st Eq by -2:
-2x -2y = -46,
2x + 5y = 70,
Add the 2 Eqs:
3y = 24,
y = 8 Qtrs.

Substitute 8 for y in EQ1:
X + 8 = 23,
X = 23 - 8,
X = 15 Dimes.

2. Same procedure as prob. 1.

## Similar Questions

1. ### algebra

How do I figure out this problem? You have 37 coins (all nickels , dimes, and quarters) adding up to \$5.50. You have 4 more quarters than nickels. How many dimes do you have?
2. ### math

Jo has 37 coins (all nickels, dimes and quarters) worth \$5.50. She has 4 more quarters than nickels. How many of each type of coins does she have?
3. ### algebra

nicole has \$2.20 in nickels and quarters. she has 16 coins all together. how many of each does she have?
4. ### algebra

A collection of nickels, dimes, and quarters amounts to \$9.50. If there are 130 coins in all and there are twice as many dimes as there are quarters, find the number of nickels.
5. ### word problem money

you have \$ 1.55 in dimes and quarters. find all the possible combinations of coins that you might have i got; 1) 1 quarters 13 dimes 2) 3 quarters 8 dimes 3) 5 quarters and 3 dimes is this right 3 ways?
6. ### Algebra (Mrs.Sue) thank you :)

Sal keeps quarters,nickels, and dimes in a jar. He has a total of 52 coins. He has three more quarters than dimes and five fewer nickels than dimes. How many dimes does sal have?
7. ### Math

Ruthie has 10 coins, all either nickels, dimes, or quarters. She has N nickels, D dimes, and Q quarters, where N, D, and Q are all different, and are each at least 1. Amazingly, she would have the same amount of money if she had Q …
8. ### algebra

Mary has \$4.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and forty-seven more nickels than dimes, how many coins of each type does she have?
9. ### algebra

A box contains \$7.80 in nickels, dimes, and quarters. There are 46 coins in all, and the sum of the numbers of nickels and dimes is 2 less than the number of quarters. How many coins of each kind are there?
10. ### College Algebra

A box contains \$7.80 in nickels, dimes, and quarters. There are 46 coins in all, and the sum of the numbers of nickels and dimes is 2 less than the number of quarters. How many coins of each kind are there?

More Similar Questions