Answer:
125 dogs and cats
Step-by-step explanation:
35 puppies make up 28% of the total dog and cat population
so 28% of the total population is 35
let x = the total population
0.28x = 35
x = 35 / 0.28
x = 125 <=== total dogs and cats
let the number of adult tickets be x and the number of children tickets be y
3x + y = 164...equ(1)
2x + 3y = 174....equ(2)
multiplying equation 1 by 3
9x + 3y = 492
subtracting equation 2 from 1
7x = 318
x = 45.43 dollars
substituting the value of x into the equation
3(45.428) + y = 164
y = 164 - 3(45.428)
∴y = 27.71 dollars
Answer:
Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).
Explanation:
You are given:
every serving of shrimp contains 2g of fat and 5mg of iron;
every serving of rice contains 6g of fat and 7mg of iron;
each meal should have 6g of total fat and 10mg of total iron.
You need to set a system of equation: let's call
s = quantity of shrimps
r = quantity of rice
The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g
2s + 6r = 6 (1)
Similarily:
the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g
5s + 7r = 10 (2)
In order to solve the system, solve for s in equation (1):
s = (6-6r)/2 = 3 - 3r (3)
Substitute in equation (2):
5(3 - 3r) + 7r = 10
and solve for r:
15 - 15r + 7r = 10
8r = 5
r = 5/8
Substitute the value of r in equation (3):
s = 3 - 3×5/8 = 9/8
Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.
5 : 8....added = 13
5/13(169) = 845/13 = 65 men
8/13(169) = 1352/13 = 104 women <===
