Question

A merchant selling sunglasses can place 8 large boxes or 10 small boxes into a carton for shipping in one shipment he sent a total of 566 boxes of sunglasses if there are more large boxes than small boxes how many cartons did he ship

Answer 1

Answer:

answer

Step-by-step explanation:

566-80=460

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Answer 2

Answer:

Number of cartoons were 70 or 69.

Step-by-step explanation:

Given : A merchant selling sunglasses can place 8 large boxes or 10 small boxes into a carton for shipping in one shipment he sent a total of 566 boxes of sunglasses if there are more large boxes than small boxes.

To find : How many cartons did he ship?

Solution :  

A merchant selling sunglasses can place 8 large boxes or 10 small boxes.

Total number of sunglasses = 566

Let the number of large sunglasses be 'x'

Let the number of small sunglasses be 'y'

According to question,

$x+y=566$ .....(1)

Number of cartoons is

$n=\frac{x}{8}+\frac{y}{10}$

The condition is 'there are more large boxes than small boxes' i.e. x>y

Divides the 566 in such a way that it will follow equations (1), (2) and (3)

We know, 8 ends with 6 only for two time, when it is multiply by 2 or its multiply by 7.

Case 1 : If we assume x = 536 and y = 30

Then, $\frac{x}{8}=\frac{536}{8}=67$

$\frac{y}{10}=\frac{30}{10}=3$

So, total number of cartoons $n=67+3=70$

Case 2 : If we assume x = 496 and y = 70

Then, $\frac{x}{8}=\frac{496}{8}=62$

$\frac{y}{10}=\frac{70}{10}=7$

So, total number of cartoons $n=62+7=69$