The Jones family eats 2/3 of a packet of biscuits every day. How long will 27 packets last the family?

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

6 0

Answer:

40 1/2 days

Step-by-step explanation:

Quantity of biscuits the Jones eats daily = 2/3 of a packet

Total packets of biscuits = 27 packets

How long will 27 packets last the family?

= Total packets of biscuits / daily intake of biscuits of the Jones

= 27 ÷ 2/3

= 27 × 3/2

= 81 / 2

= 40 1/2 days

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A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures

Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9$

$\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9 \\ \because \: AB = x \\ \huge \red{ \therefore AB = 9} \\ \\ \because \:BC = x + 6 \\ \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}$