Question

Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.1/3 of the Sunday's are mint ice-cream and 1/2 of the remaining sundaes are chocolate. The rest are chocolate.The rest are vanilla.How many sundaes will be vanilla ?

Answer 1

10 sundaes will be vanilla.

Explanation:

Given:

Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.

1/3 of the Sunday's are mint ice-cream.

And 1/2 of the remaining sundaes are chocolate.

The rest are vanilla.

Now, to find the number of sundaes that will be vanilla.

Fernando is making sundaes total = 30.

So, the quantity of sundaes that are mint ice-cream:

`(1)/(3) \ of\ 30\\\\=(1)/(3) * 30\\\\=10.`

Thus, 10 sundaes are mint ice-cream.

So, the remaining sundaes are:

`30-10=20.`

Thus, the remaining sundaes are = 20.

Now, to get the quantity of chocolate sundaes of the remaining sundaes:

`(1)/(2) \ of\ 20\\\\=(1)/(2) * 20\\\\=10.`

Hence, 10 sundaes are chocolate of the remaining 20 sundaes.

As, given the rest are vanilla.

Now, to get the vanilla sundaes we subtract the 10 chocolate ice-cream from the 20 remaining sundaes:

`20-10=10.`

Therefore, 10 sundaes will be vanilla.