Question

the value of a 1950 nickel is 7/4 the value of a 1945 nickel, the total value to the coins is 55.00, what is the value of each coin?

Answer 1

what is the unit of that 55.00? dollars? cents?

Answer 2

dollars

Answer 3

let x = value of 1945 nickel

so value of 1950 nickel is 7/4 x

it says the total is $55.00 so
\[x + \frac 74 x = 55\]
convert to common denominators
\[\implies \frac 44 x + \frac 74 x = 55\]
combine like terms
\[\implies \frac{11}4 x = 55\]
multiply both sides by 4
\[\implies 11x = 55 \times 4\]
simplify
\[\implies 11x = 220\]
now divide both sides by 11
\[x = 220 \div 11\]
simplify
\[x = 20\]
are you sure the unit is dollars? because according to this thing, the value of a 1945 nickel is 20 dollars

Answer 4

that is exactly the answer that the problem came up with but i couldn't figure out how it came up with that answer thank you for your help it explained it for me. :)

Answer 5

welcome :D

Answer 6

20 dollars for a nickel is still weird though