Question

The total mass of 14 twenty-cent coins and 9 fifty-cent coins is 112.94 g. A fifty-cent
coin is 2.71 g heavier than a twenty-cent coin. Find the mass of a fifty-cent coin.

Answer 1

Answer:

3m(8-3m)=16

Quadratic formula

Factor

1

Rearrange terms

3m({\color{#c92786}{8-3m}})=16

3m({\color{#c92786}{-3m+8}})=16

2

Distribute

{\color{#c92786}{3m(-3m+8)}}=16

{\color{#c92786}{-9m^{2}+24m}}=16

3

Move terms to the left side