NEED HELP ASAP! Ted has an impressive total of 145 dimes and quarters. The collection is worth $24.25.
How many dimes and quarters does he have?

9514 1404 393

Step-by-step explanation:

Let q represent the number of quarters (the higher-value item). Then 145-q is the number of dimes. The total collection is worth ...

  0.25q + 0.10(145 -q) = 24.25

  0.15q = 9.75 . . . . . . . . . . . . . . . . subtract 14.50; collect terms

  q = 65 . . . . . . . . . . . divide by 0.15

  d = 145 -q = 80

Ted has 80 dimes and 65 quarters.

___

Check

  80 dimes: $8.00

  65 quarters: $16.25

Total: $8.00 +16.25 = $24.25.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

squares, rhombus, rectangles