Answer:
the correct choice is marked
Step-by-step explanation:
Let x represent the smaller number. Then the larger number is 8x, and the difference is ...
8x -x = 280
7x = 280 . . . . . simplify
x = 40 . . . . . . divide by 7
The larger number is 8x = 8(40) = 320.
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<em>Additional comment</em>
Effectively, we have solved for the multiplier (40) that gives the ratio with 320 on top and a difference between top and bottom of 280:
Answer:
Number of dimes = 34
Number of nickels = 13
Step-by-step explanation:
Total number of coins = 47
Coins are in the form of nickels and dimes.
Value of a nickel = 5 cents
Value of a dime = 10 cents
Total value of coins = $4.05 or 405 cents
To find:
Number of nickels and dimes?
Solution:
Let number of nickels =
Money value of nickels = 5
Let number of dimes =
Money value of dimes = 10
Total value of coins =
This value is given as equal as 405.
As per question statement, the equations can be written as:
Multiplying equation (2) with 5 and subtracting from equation (1):
Number of dimes = 34
Number of nickels = 47 - 34 = 13