Mathematics, 27.09.2019 13:20 macinnoodlezz

Grandpa mick opened a pint of ice cream. he gave his youngest grandchild 1/5 of the ice cream and his middle grandchild 1/4 of the remaining ice cream. then, he gave his oldest grandchild 1/3 of the ice cream that was left after serving the others.
a. who got the most ice cream? how do you know? draw a picture to support your reasoning.
b. what fraction of the pint of ice cream will be left if grandpa mick serves himself the same amount as the second grandchild?

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Answer from: balancingmist1954

a. They all get the same quantity of ice cream.

b. Fraction of the pint of ice cream that will be left is 1/5

Step-by-step explanation:

Tape diagram is attached to support reasoning.

a. Youngest grandchild 1/5 of the ice cream

Middle grandchild 1/4 of the remaining ice

The remaining ice is 4/5.

To get how much he gave to the middle grandchild we make 1/4 x 4/5

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×4/4×5=4/20

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 4 and 20 using

GCF(4,20) = 4

=1/4×4/5=1/5

We make the same for the last grand child.

Remaining ice is 3/5 ( we discount the previous servings)

=1/3 x 3/5= 1/5

b. If Grandpa serves himself the same amount, 1/5,

That will be 1/5 for each person ( they are 4 persons), we use 4/5

Then, will be left 1/5

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

$\omega=\{r3,r5,s3,s5,t3,t5\}$

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Grandpa mick opened a pint of ice cream. he gave his youngest grandchild 1/5 of the ice cream and hi...

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