Question

Janesa has 24 coins in her pocket worth exactly $1.00. She tells her younger brother Jackson that he can have the coins if he correctly guesses how many of each coin she has. She gives him the hint that there are only nickels and pennies.​

Answer 1

a) N + P = 24

b) .05N + .01P = 1.00

We multiply a) by -.01

a) -.01N + -.01P = -.24 Then we add b)

b) .05N + .01P = 1.00

.04N = .76

N = 19 nickels (95 cents)

Therefore we have 5 pennies (5 cents)

Double Check

.05 * 19 + .01*5 = .95 + .05 = 1.00

Explanation:

Answer 2

9514 1404 393

Answer:

• 19 nickels
• 5 pennies

Explanation:

Let n represent the number of high-value coins (nickels). Then the number of pennies is (24-n) and the total value is ...

5n +1(24-n) = 100 . . . . . cents

4n = 76 . . . . . . . . . . . . subtract 24 and simplify

n = 19 . . . . . . . . . . . . divide by 4

24 -n = 24 -19 = 5 . . . . the number of pennies

Janesa will be giving 19 nickels and 5 pennies to her younger brother.