Answer:
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
