7
117 nickles
He has 165 cents.
Start by setting out what we know in equations. D = 0.10 Q = 0.25 X(0.10) + Y(0.25) = 2.25 X = 2Y Now, replace the X in the longer equation with its known Y equivalent. 2Y(0.10) + Y(0.25) = 2.25 Multiply out the brackets 0.2Y + 0.25Y = 2.25 Add the Y values together 0.45Y = 2.25 Divide both sides by 0.45 Y = 5 So, now we can replace the Y in the longer equation X(0.10) + 5(0.25) = 2.25 and resolve that X(0.10) + 1.25 = 2.25 X(0.10) = 2.25 - 1.25 X(0.10) = 1.00 X = 10 So, there are ten dimes and five quarters.
Start by setting out what we know in equations. D = 0.10 Q = 0.25 X(0.10) + Y(0.25) = 2.25 X = 2Y Now, replace the X in the longer equation with its known Y equivalent. 2Y(0.10) + Y(0.25) = 2.25 Multiply out the brackets 0.2Y + 0.25Y = 2.25 Add the Y values together 0.45Y = 2.25 Divide both sides by 0.45 Y = 5 So, now we can replace the Y in the longer equation X(0.10) + 5(0.25) = 2.25 and resolve that X(0.10) + 1.25 = 2.25 X(0.10) = 2.25 - 1.25 X(0.10) = 1.00 X = 10 So, there are ten dimes and five quarters.
Work in cents. 10D + 25Q = 1975 and D + Q = 100 so D = 100 - Q 1000 - 10Q + 25Q = 1975 15Q = 975 Q = 65 making D = 35; Check: does 10 x 35 + 65 x 25 = 1975? 350 + 1625 = 1975. Game over.
There is an extremely large amount of possibilities of money combinations that could be within a piggy bank. We must first note that some piggy banks differ in size, but the real problem is with the change itself. The piggy bank could be filled with all pennies, all quarters, 10 dimes and the rest quarters, and so on. The possibilities are limitless.
117 Alternative method: If all the coins were dimes he would have $41.90; He is $5.85 short of that figure Every 5c short represents 1 nickel replacing a dime 585/5 = 117 nickels (and 302 dimes).
7
shake the piggy bank until all the coins get out.
The number of coins that can fit into an empty piggy bank depends on the size and capacity of the piggy bank, as well as the size and denomination of the coins. Generally, you could estimate by counting the volume of the coins and comparing it to the volume of the piggy bank.
725 coins