Question

A piggy bank contains 35 coins.
Each coin is either a quarter or a dime.
Altogether, the coins have a value of $4.90.
Complete the table and write a system of equations to represent the number of each
type of coin.

Answer 1

Answer:

See below.

Step-by-step explanation:

Let d = number of dimes. Let q = number of quarters.

d + q = 35

A dime is worth 10 cents, or $0.1; d dimes are worth 0.1d.

A quarter is worth 25 cents, or $0.25; q quarters are worth 0.25q.

0.1d + 0.25q = 4.9

The system of equation is

d + q = 35

0.1d + 0.25q = 4.9