Question

2. Fiona has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $25.10.

If x represents the number of quarters in the jar, which equation can be used to find the number of quarters?
(Points : 1)
0.25x + 0.05(x – 150) = 25.10
0.05x + 0.25(150 – x) = 25.10
0.05x + 0.25(x – 150) = 25.10
0.25x + 0.05(150 – x) = 25.10

Answer 1

would it be A? that's what i think it is.

Answer 2

if we make "x" the quarters, then we can say that

\(\bf \text{x + "nickels amount" = 150 coins}\)
and we can also say that \(\bf \text{"nickels amount" = 150-x}\) solving for "nickels amount"


there are 25 cents in 1 quarter, and 5cents in 1 nickel

so we can say that, the amount of quarters times 25 cents, "x", plus the "nickels amount" times 5 cents= $25.10

25.10 is really just 2,510 cents or pennies
so

so we can say that

25x + 5(x-150) = 2,510



"x" + (150-x) = 150

Answer 3

25x + 5(x-150) = 2,510 #divide both sides by 100 to convert it from pennies to dollars

Answer 4

thx:D

Answer 5

yw