Question

Chance has $4 in quarters. Blake has $6 in dollar coins.Whose coins have the greatest mass? Complete the explanation.CoinMass (in grams)5.00NickelDime2.27Quarter5.67Half Dollar11.34Dollar8.1grams of coins and Blake hasgrams of the coins.coins haveChance hasthe greatest mass.

Answer 1

First, we have that Chance has $4 in quarters. We know that one quarter equals 25 cents, then for $4 we have:

`\begin{gathered} 4\text{ dollars = 400 cents} \\ \Rightarrow(400)/(25)=16 \end{gathered}`

Then, Chance has 16 quarters, each one weighs 5.67g, then:

`(16)\cdot5.67=90.72g`

Now, Blake has $6 in dollar coins, each weighs 8.1g, then:

`(6)(8.1)=48.6g`

therefore, Blake has 48.6g of the coins, Chance has 90.72g of the coins.

Chance has the greatest mass.