Mathematics : asked on dondre54
 19.08.2020

Mary and Jane went on a tour together. Mary brought twice as much money as Jane. After Mary had spent $800 and Jane had spent $240, they had equal amount of money left. How much money did Mary have at first?

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09.07.2023, solved by verified expert
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Mary has $1120

Step-by-step explanation:

money mary has at first : x

money jane has at first : y

Mary brought twice as much money as Jane : x=2y

Mary had spent $800 and Jane had spent $240, they had equal amount of money left : x-800=y-240

=> Mary and Jane went on a tour together. Mary brought, №18011004, 19.08.2020 07:52

=> x=1120

y=560

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Mary had $1,120

Step-by-step explanation:

Let the amount mary and jane had be 2x and x respectively.

Let the equal amount be y:

Mary and Jane went on a tour together. Mary brought, №18011004, 19.08.2020 07:52

Using the simultaneous equation method, multiply the first equation by the coefficient of x(1) of the second equation and the second equation by the coefficient of x(2) of the first equation:

Mary and Jane went on a tour together. Mary brought, №18011004, 19.08.2020 07:52

Subtract the second equation from the first equation:

Mary and Jane went on a tour together. Mary brought, №18011004, 19.08.2020 07:52

$320 was their equal amount.

Substitute 320 for y in any equation:

Mary and Jane went on a tour together. Mary brought, №18011004, 19.08.2020 07:52

Therefore, Jane had $560 at first and Mary had $1120 at first.

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Faq

Mathematics
Step-by-step answer
P Answered by Master

Mary has $1120

Step-by-step explanation:

money mary has at first : x

money jane has at first : y

Mary brought twice as much money as Jane : x=2y

Mary had spent $800 and Jane had spent $240, they had equal amount of money left : x-800=y-240

=> \left \{ {{x=2y} \atop {x-800=y-240}} \right.

=> x=1120

y=560

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Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

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The solution is in the following image

The solution is in the following image
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The answer is in the image 

The answer is in the image 

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Step-by-step answer
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The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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