Answer: He will have 8 1/3 nuts
Step-by-step explanation:
Amount of peanuts=4 2/3 cups
Amount of cashews=3 2/3 cups
Combing the nuts will give Total amount of nuts ( peanuts and cashews)
=4 2/3 +3 2/3
=7 4/3
7 + 1 1/3
8 1/3 nuts

- Solve 2m + n = 2 and 3m - 2n = 3 using substitution.

We can use the substitution method to solve linear equations of this form. Let's solve for m & n.

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

Choose one of the equations and solve it for m by isolating m on the left-hand side of the equal sign.

Subtract n from both sides of the equation.

Divide both sides by 2.

Multiply 1/2 times -n+2.

Substitute
for m in the other equation, 3m-2n=3.

Multiply 3 times
.

Add
to -2n.

Subtract 3 from both sides of the equation.

Divide both sides of the equation by
, which is the same as multiplying both sides by the reciprocal of the fraction.

Substitute 0 for n in
. Because the resulting equation contains only one variable, you can solve for m directly.

The system is now solved.

Step-by-step explanation:
Since we have given that
Total number of members in a sports club = 38
Number of women in the club = 14
Number of women play tennis =10
Number of men play tennis = 8
Since they all play either squash or tennis.
Total number of men in the club is given by

So, number of men playing squash is given by

Number of women playing squash is given by

so, the table is shown below :
Men Women Total
Tennis 16 4 20
Squash 8 10 18
Total 24 14 38
The correct answer is water