contestada

A person has a bag containing quarters and dimes. There are a total of 72 coins in the bag, and the total value of the coins is $13.20. Determine how many quarters and dimes are in the bag.

Respuesta :

mhanifa

Answer:

  • 40 quarters and 32 dimes

Step-by-step explanation:

Given:

  • Quarter = 25 ¢, number of quarters = q
  • Dime = 10 ¢, number of dimes = d
  • Total amount = $13.20 = 1320 ¢

Required equations:

  • q + d = 72
  • 25q + 10d = 1320

Solve by elimination, multiply the first equation by 10 and subtract from the second equation:

  • 25q + 10d - 10q - 10d = 1320 - 10*72
  • 15q = 600
  • q = 600/15
  • q = 40

Find p:

  • 40 + p = 72
  • p = 72 - 40
  • p = 32
ItzTds

Let's take the given as,

→ q = quarters (25)

→ d = dimes (10)

→ 1320 will be the amount

→ q + d = 72

→ 25q + 10d = 1320

Now we can solve for q,

→ (25q - 10q) + (10d - 10d) = 1320 - (10 × 72)

→ 15q = 1320 - 720

→ 15q = 600

→ q = 600/15

→ [ q = 40 ]

From this equation,

→ q + d = 72

We can solve for the d,

→ 40 + d = 72

→ d = 72 - 40

→ [ d = 32 ]

There are 40 quarters & 32 dimes.

Otras preguntas