Mary gave her brother 1/4 of her plums and her sister 1/3 of her plums. Mary remained with 20 plums. Caluculate how many plums mary had before sharing and how many more plums her sister received than her brother

Step-by-step explanation:

Let x be the number plums that Mary had

Number of plums received by her brother = (1/4) of x  =(1/4)x

Number of plums received by her sister = (1/3)x

Remaining plums is 20.

Total plums - (plums given to brother + plums given to sister) = 20

Number of plums with Mary = 48

Number of plums received by brother= (1/4)*48 = 12 plums

Number of plums received by sister = (1/3)*48 = 16 plums

16 - 12 = 4

Her sister received 4 plums more than her brother

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)