Question

Please help fast!! Katrina has $3.60 worth of nickels and dimes. She has 46 coins in total. How many nickels and dimes does she have?

Answer 1

Answer:

20 nickels and 26 dimes

Step-by-step explanation:

• She has $3.60 in nickels and dimes
• a nickel is $0.05 and a dime is $0.10
• let n be the number of nickels and d be the number of dimes
• thus the first equation is 3.6 = 0.05n +0.1d
• If she has 46 coins then n + d = 46
• then n = 46 - d
• sub n = 46 - d into 3.6 = 0.05n +0.1d
• 3.6 = 0.05(46 - d) + 0.1d
• 3.6 = 2.3 -0.05d+0.1d
• 1.3 = 0.05d
• 26 = d
• sub d = 26 into n+d=46
• n+26=46
• n=20
• Check by subbing n=20 and d=26 into 0.05n +0.1d
• 0.05(20) +0.1(26)
• 1+2.6 = 3.6