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Reil [10]
3 years ago
13

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.
Mathematics
2 answers:
maria [59]3 years ago
5 0

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

<em>The jar weighs 370g</em>

denpristay [2]3 years ago
3 0

Answer:

370

Step-by-step explanation:

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