Answer:
- Total value in cents = 51p+5n
- Total value in dollars = (51p+5n)/100
The answer varies depending if your teacher wants the answer in cents only, or in dollars only.
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Explanation:
- p = number of pennies
- n = number of nickels
- 2p = number of quarters, since we have twice as many quarters compared to pennies.
Based on that, we know,
- p = number of cents from the pennies (1 penny = 1 cent)
- 5n = number of cents from the nickels (5 nickels = 5 cents, multiply both sides by n)
- 25(2p) = 50p = number of cents from the quarters
and ultimately
p+5n+50p = 51p+5n
represents the total value of all the coins, and this value is in cents. We would divide by 100 to convert from cents to dollars. So we can say that 51p+5n cents = (51p+5n)/100 dollars
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As an example, let's say
So we have
- p = 4 pennies
- n = 5 nickels
- q = 2p = 2*4 = 8 quarters
This would mean we have
- p = 4 cents from the pennies only
- 5n = 5*5 = 25 cents from the nickels only
- 25q = 25*8 = 200 cents from the quarters only
Overall we have p+5n+25q = 4+25+200 = 229 cents which converts to 229/100 = $2.29
We can also say 51p+5n = 51*4+5*5 = 204+25 = 229 which is a slight shortcut to get the same result (that result being in cents).
You have to convert the following number into a fraction:
This is a periodic decimal number, which explicitely is 0.68888888....
In order to convert this number to a fraction you proceed as follow:
You put 0.68 and not 0.688 because to do the convertion you need only the first periodic number (that is, only the first 8). The key is to put in the numerator the complete number as whole number, that is, 68. To this number you subtract the whole part of the decimal number, this whole part is 0 because of the 0.688. Then, in the numerator you have 68 - 0. In the denominator you write a number composed only by 9's. The number of 9 numbers is determined by the number of digits of the first number in the numerator. That is two 9 numbers