All categories

2 years ago

Ann and Betty shared a sum of money in the ratio 2:3. If Ann received $120,what was the amount of money shared?

Mathematics

1 answer:

Ivenika [448]2 years ago

4 0

Answer:

$420

Step-by-step explanation:

Given data

GIven ratio= 2:3

The total ratio= 2+5= 7

Ann's share= $120

Let us apply the part to all approach

let the total amount be x

so for Ann

2/7= 120/x

cross multiply

2x= 120*7

2x= 840

divide both sides by 2

x= 840/2

x= 420

Hence the amount shared is $420

You might be interested in

Dora earns an annual salary of $85,608. How much does she earn every month. A.$6,144. B. $7,134. C.$7,144. D. $7,234

Jet001 [13]

Hi let me help you out there
There are 12 months in a year
$85,608 is the amount she earns in a year
you do
85,608 divided by 12 since there are 12 months in a year
85,608 divided by 12= $7,134
The answer is B

hope this helps

3 0

3 years ago

Read 2 more answers

A que conjunto pertenece el 12

Verizon [17]

Mande???

The answer is 12

7 0

2 years ago

Six friends share 4 apples equally. How much

zvonat [6]

4 divided by 6 is 0.6666666667

3 0

3 years ago

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$