Answer:
$9.33 or 933 cents
Step-by-step explanation:
<u>Concepts:</u>
- Coins are a form of currency. They're tiny, flat, and made of metal. There are various types of coins worldwide, but the main ones in the USA are quarters, dimes, nickels, and pennies. To write the value of a coin, you can use the format $0.00 or use cents/¢ at the end of it. One quarter is worth 25 cents, one dime is worth 10 cents, one nickel is worth 5 cents, and one penny is worth one cent.
- Expressions are mathematical sentences that have at least two terms with numbers/variables and at least one operation
<u>Solving:</u>
Since we know the value of each coin, let's set up an expression:
q = 25, d = 10, n = 5, p = 1
(31 · q) + (13 · d) + (5 · n) + (3 · p)
Now, let's solve our expression!
1. Plug in the values of q, d, n, and p
- (31 · 25) + (13 · 10) + (5 · 5) + (3 · 1)
2. Simplify the terms in the parentheses
- (31 · 25) + (13 · 10) + (5 · 5) + (3 · 1)
- (775) + (130) + (25) + (3)
- 775 + 130 + 25 + 3
3. Add all the terms together
- 775 + 130 + 25 + 3
- 905 + 25 + 3
- 930 + 3
- 933
Now, we know the the monetary amount of 31 quarters, 13 dimes, 5 nickels and 3 pennies is 933 cents. However, we can also write it in decimal form by moving the decimal point to the left 2 times from the last digit of 933, 3: 933.0 -> 93.30 -> 9.330, and 9.330 = 9.33. Therefore, the answer is 933 cents or $9.33.
