Question

Peter is a beekeeper who sells jars of honey and honeycombs at the market. For every 10 jars of honey he

brings to the market, he brings 3 honeycombs.
Which of the following could be what Peter brings to the market?
Choose 2 answers:
18 jars of honey and 5 honeycombs
20 jars of honey and 6 honeycombs
30 jars of honey and 9 honeycombs
40 jaksof honey and 10 honeycombs
60 jars of honey and 16 honeycombs​

Answer 1

Options B and C,

20 jars of honey and 6 honeycombs

30 jars of honey and 9 honeycombs

Since 20/10 = 2, we need to make sure that the number of honeycombs is 3*2 = 6.

The same goes for the Option C, since 30/10 = 3, we need to make sure that 3*3 = 9.

Okay, that might have been a bad explanation.

For Option B, we know that he has 20 jars of honey, right? Since he brings 10 jars of honey for every 3 honeycombs, we divide 20 by 10 (20/10) , which gives us 2. This means that he brought 2 groups of ten jars of honey. We also know that for every group of ten jars, he brings 3 honeycombs, meaning that he brought 2 groups of three honeycombs. 3 times 2 is 6, showing that the Option B is correct. The same goes for Option C. He brought 3 groups of ten jars of honey, and 3 groups of 3 honeycombs.

Answer 2

`\huge{\boxed{\text{Option B}}}\ \ \huge{\boxed{\text{Option C}}}`

First, we know the number of jars must be a multiple of
`10` and the number of honeycombs must be a multiple of
`3`.

We can remove option A because
`18` is not a multiple of
`10` and
`5` is not a multiple of
`3`.

We can remove option D because
`10` is not a multiple of
`3`.

We can remove option E because
`16` is not a multiple of
`3`.

This leaves us with options
`\boxed{\text{B}}` and
`\boxed{\text{C}}`.