Jason has 34 raspberry scones and 51 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of raspberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason can fill? Explain how you know.

The greatest number of bags Jason can fill = 17

Step-by-step explanation:

Given: Jason has 34 raspberry scones and 51 blackberry scones.

To make identical bags of scones as possible.

Each bag should have an equal number of raspberry scones and an equal number of blackberry scones.

The greatest number of bags Jason can fill = Greatest common divisor of 3

and 51.

= 17     [Since 34 = 2 x 17 , 51 = 3 x 17]

Hence, the greatest number of bags Jason can fill = 17

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.