If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:
z = 0.25x + 0.10(2x)
Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:
1.2 + z = 0.25(2x) + 0.10(x)
Plug in the values you know:
1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)
Solve for x:
1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8
This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:
She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.
If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
3 tens= 30
10 ones= 10
30+10=40
Answer:
Each orange costs 0.26 and each apple costs 0.32.
Step-by-step explanation:
12 oranges and 7 apples cost 5.36.
And the cost is 3.68 for 8 oranges and 5 apples.
If each orange costs x and each apple cost y then we have the equations
12x + 7y = 5.36 ..... (1) and
8x + 5y = 3.68 ........ (2)
Now, solving equations (1) and (2) we get,
15y - 14y = 3.68 × 3 - 5.36 × 2
⇒ y = 0.32
Now, from equation (2), we get 8x + 5 × 0.32 = 3.68
⇒ 8x = 2.08
⇒ x = 0.26
Therefore, each orange costs 0.26 and each apple costs 0.32. (Answer)
Answer:
w is 214656 z is 8657
hope this helps
Step-by-step explanation: