Answer:
12
Step-by-step explanation:
Let x be the number of chocolates in the first jar, then
[tex]\frac{4}{5}[/tex] 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
[tex]\frac{4}{5}[/tex] x = [tex]\frac{1}{2}[/tex](x + 90) = [tex]\frac{1}{2}[/tex] 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 [tex]\frac{4}{5}[/tex] × 150 = 120
Number of chocolates in second jar = 120
