Mai, Kiran, and Clare are baking cookies together. They need 34 3 4 cup of flour and 13 1 3 cup of butter to make a batch of cookies. They each brought the ingredients they had at home. Mai brought 2 cups of flour and 14 1 4 cup of butter. Kiran brought 1 cup of flour and 12 1 2 cup of butter. Clare brought 114 1 1 4 cups of flour and 34 3 4 cup of butter. A measuring cup and spoon. If the students have plenty of the other ingredients they need (sugar, salt, baking soda, etc.), how many whole batches of cookies can they make? Explain your reasoning.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation:

60: 45 =12: 9 =4: 3 so the answer is 4: 3