Question

How many chocolates are in the 2nd jar ?

Answer 1

Answer:

12

Step-by-step explanation:

Let x be the number of chocolates in the first jar, then

$\frac{4}{5}$ x ← number of chocolates in second jar and

x + 90 ← number of chocolates in the third jar

The second jar also contains one half the chocolates in the third jar, thus

Equating chocolates in second jar

$\frac{4}{5}$ x = $\frac{1}{2}$(x + 90) = $\frac{1}{2}$ x + 45

Multiply both sides by 10 to clear the fractions

8x = 5x + 450 ( subtract 5x from both sides )

3x = 450 ( divide both sides by 3 )

x = 150

and $\frac{4}{5}$ × 150 = 120

Number of chocolates in second jar = 120