You start collecting loose coins in a jar from laundry. You are hoping that the jar has $5. The jar consist of nickles and quart
ers. There are 40 coins all together. How many nickels and quarters are in the jar?
2 answers:
Answer:
q = 15
n = 25
Step-by-step explanation:
Solution
Let the nickels = n
Let the quarters = q
q + n = 40 (1)
0.25*d + 0.05*n = 5.00 (2) Multiply 2 by 100 to get everything into pennies. It is currently in dollars.
25q + 5n = 500 Multiply (1) by 5
5q + 5n = 200 Subtract
20q = 300 Divide by 20
20q/20 = 300/20 Do the division
q = 15
q + n = 40 Substitute 15 for q
15 + n = 40 Subtract 15 from both sides
15 - 15 + n = 40 - 15
n = 25
Check
15 * 0.25 + 25 * 0.05
3.75 + 1.25
5
Which is what it should equal.
Answer:
15 quarters and 25 nickles
Step-by-step explanation:
15quarts= $3.75
25 nickles=$1.25
total $5
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