In the toy shop of the theme park is a shelf full of gifts. Two of the gift packets are yellow. One of the yellow packets is the

Question

3 years ago

9

In the toy shop of the theme park is a shelf full of gifts. Two of the gift packets are yellow. One of the yellow packets is the

sixth from the left, the other packet is the eighth from the right. Between the two yellow gift packets there are three differently colored packages. How many presents are at least on the shelf?

Mathematics

2 answers:

Angelina_Jolie [31] · Answer 1 · 2022-07-26T07:09:37+03:00

Answer:

There is 9 gifts packets on the shelf.

Step-by-step explanation:

"o" represents a not yellow gift packet and "i" represents a yellow packet.

It says "One of the yellow packets is the sixth from the left" so we have

???iooooo

then it says "the other packet is the eighth from the right" AND "Between the two yellow gift packets there are three differently colored packages"

So we have

oooioooio because there is no "17" answer so it can't be

oooooooioooiooooo

Levart [38] · Answer 2 · 2022-07-26T09:24:46+03:00

Answer:

9

Step-by-step explanation:

Let y represent the yellow packets and n represent the non-yellow packets.

We know that the two yellow packets are separated by 3 non-yellow packets; this gives us

y n n n y

somewhere in the middle of the shelf.

We are not told which packets is 6th from the left and which is 8th from the right. To minimize the total number of packages, assume the y on the left is 8th from the right. Counting from it to the right, we have 5 already; this means we would have 3 more n's after the y on the right:

y n n n y n n n

Now we will assume the y on the right is 6th from the left. Counting from it to the left, we have 5 already; this means we would have 1 more n before the y on the left:

n y n n n y n n n

Counting these together, we have 9 packages.