Question

A jar contains sugar. The jar and the sugar have a total weight of 850 g. Anna uses 2/3 of the sugar. The jar and the sugar now have a total weight of 530 g. Work out the weight of the jar.

Answer 1

370

Explanation:

Answer 2

`J = 370g`

Explanation:

Given

Represent the weight of the Jar with J and the sugar with S

Initially, we have:

`J + S = 850g`

After 2/3 of sugar is removed we have:

`J + S -(2)/(3)S= 530g`

Required

Determine the weight of the jar

`J + S = 850g` --- (1)

`J + S -(2)/(3)S= 530g` --- (2)

Simplify (2)

`J + S -(2S)/(3)= 530g`

Take LCM

`J + (3S - 2S)/(3)= 530g`

`J + (S)/(3)= 530g`

Make S the subject in (1)

`J + S = 850g`

`S = 850g - J`

Substitute 850g - J for S in
`J + (S)/(3)= 530g`

`J + (850g - J)/(3)= 530g`

Multiply through by 3

`3 * J + 3*(850g - J)/(3)= 530g * 3`

`3J + 850g - J= 1590g`

Collect Like Terms

`3J - J= 1590g-850g`

`2J= 740g`

Make J the subject

`J = (1)/(2) * 740g`

`J = 370g`

The jar weighs 370g