On a team, 7 girls and 2 boys scored a total of 64 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Each girl scores 8 points while each boy scores 4 points

Step-by-step explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

you would need to know all the numbers that are on there

step-by-step explanation: