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- One number is 4 more than half of another. The differencebetween the two nimbe

ID: 3088971 • Letter: #

Question

- One number is 4 more than half of another. The differencebetween the two nimbers is 2. Find the numbers? -Willie has 26 coins in nickels and quarters, which are wortha total of 3.10. How many of each coin does he have? - One number is 4 more than half of another. The differencebetween the two nimbers is 2. Find the numbers? -Willie has 26 coins in nickels and quarters, which are wortha total of 3.10. How many of each coin does he have?

Explanation / Answer

x = 4 + 0.5y x - y = 2 Substitute 4 + 0.5y - y = 2 -0.5y = -2 y = 4 Plug in the value of y in any of the original equations. x = 6 and y = 4 x + y = 26; x = -y + 26 0.05x + 0.25y = 3.10 Substitute the value of x. 0.05(-y+26) + 0.25y = 3.10 -0.05y+1.3+0.25y = 3.10 0.20y = 1.8 y = 9 -----> Number of quarters Plug in the value of y for another of the equations: x = 17 and y = 9 17 nickels and 9 quarters.