Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
1 meter = 100 centimeters, so 120 centimeters equal to 1.2 meters.
Answer:
3n−32=7n+28
n=-15
Step-by-step explanation:
Let's solve your equation step-by-step.
3n−32=7n+28
Step 1: Subtract 7n from both sides.
3n−32−7n=7n+28−7n
−4n−32=28
Step 2: Add 32 to both sides.
−4n−32+32=28+32
−4n=60
Step 3: Divide both sides by -4.
−4n/−4=60/−4
n=−15
Answer:
2400
2640
360
Step-by-step explanation:
the retailer has to sell it for the same price as the dealer.
so, both mark it for 2400 sale price.
if a customer buys it at the retailer, the retailer makes the 15% discount he got from the dealer as profit.
2400 = 100%
1% = 2400/100 = 24
15% = 24×15 = 360
the retailer makes this profit no matter what other fees or taxes are added.
the final price is then including 10% VAT
2400 = 100%
10% = 24×10 = 240
final price = SP + VAT = 2400 + 240 = 2640
