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

Answer:

$J = 370g$

Step-by-step 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:

$J + S -\frac{2}{3}S= 530g$

Required

Determine the weight of the jar

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

$J + S -\frac{2}{3}S= 530g$ --- (2)

Simplify (2)

$J + S -\frac{2S}{3}= 530g$

Take LCM

$J + \frac{3S - 2S}{3}= 530g$

$J + \frac{S}{3}= 530g$

Make S the subject in (1)

$J + S = 850g$

$S = 850g - J$

Substitute 850g - J for S in $J + \frac{S}{3}= 530g$

$J + \frac{850g - J}{3}= 530g$

Multiply through by 3

$3 * J + 3*\frac{850g - J}{3}= 530g * 3$

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

Collect Like Terms

$3J - J= 1590g-850g$

$2J= 740g$

Make J the subject

$J = \frac{1}{2} * 740g$

$J = 370g$

The jar weighs 370g

Answer 2

Answer:

370

Step-by-step explanation: