Question

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System of Inequalities Word Problems Sep 09, 6:47:08 PM - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Andrew has some pennies and some nickels. He has at least 16 coins worth at most $0.44 combined. If Andrew has 14 pennies, determine all possible values for the number of nickels that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answer 1

Let no. of pennies (coins) = x

No. of nickels (coins) = y

He has atleast 16 coins.

》 x + y  $\geq$ 16

Also, 1 penny = 0.01 dollar

x no. of pennies = x × 0.01 dollar

1 nickel = 0.05 dollar

y no. of nickels = y × 0.05 dollar

》 x × 0.01 + y × 0.05  $\leq$ 0.44

Here, x = 14.

From eqn 1, y  $\geq$ 2

From eqn 2, y $\leq$ 6

Combining, y = 2, 3,4,5,6