Question

spongebob and patrick share jellyfish in the ratio 3:5. spongebob recieves 16 less jellyfish than patrick. how many jellyfish are there in total? how​

Answer 1

64 jellyfish in total

Explanation:

Let x be the total number of jellyfish.

We know that SpongeBob receives
`\sf (3x)/(8)` jellyfish and Patrick receives
`\sf (5x)/(8 )` jellyfish.

We also know that SpongeBob receives 16 less jellyfish than Patrick, so we can write the following equation:

`\sf (5x)/(8) - (3x)/(8) = 16`

Simplifying the left-hand side of the equation, we get:

`\sf (5x-3x )/(8) = 16`

`\sf (x)/(4)=16`

Multiplying both sides of the equation by 4, we get:

`\sf x = 16* 4`

`\sf x = 64`

Therefore, there are 64 jellyfish in total.