Peter picked 35 peppers more than peyton and pike picked 25 peppers more than paxton. peter and peyton together picked 110 peppers more than pike and paxton picked together. together peter, peyton, pike and paxton picked 600 peppers. how many peppers did peter pick?

peter picked 195 peppers

Step-by-step explanation:

x = peter : y = peyton : z = pike : a = paxton

peter picked 35 peppers more then peyton

x = y + 35

pike picked 25 peppers more then paxton

z = a + 25

peter and payton together picked 110 peppers more then pike and paxton picked together

(x + y) = (z + a) + 110

together they picked 600 peppers

x + y + z + a = 600

(x + y) = (z + a) + 110

(y + 35 + y) = (a + 25 + a) + 110

2y + 35 = 2a + 25 + 110

2y = 2a + 25 + 110 - 35

2y = 2a + 100

y = (2a + 100) /2

y = a + 50

x = y + 35

x = a + 50 + 35

x = a + 85

x + y + z + a = 600

(a + 85) + (a + 50) + (a + 25) + a = 600

4a + 160 = 600

4a = 600 - 160

4a = 440

a = 440/4

a = 110 < paxton picked 110 peppers

y = a + 50= 110 + 50 = 160 <peyton picked 160 peppers

z = a + 25= 110 + 25 = 135 <pike picked 135 apples

x = a + 85= 110 + 85 = 195 <peter picked 195 peppers

check...

x + y + z + a = 600                                  (x + y) = (z + a) + 110

195 + 160 + 135 + 110 = 600                   (195 + 160) = (135 + 110) + 110

600 = 600 (correct)                                355 = 355(correct)

ur answer is : peter (x) picked 195 peppers

21

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it