To solve this you have to express the quantities of both as a function of one. For example since the number of bouquets sold was 15 more than the number of hearts, you can express the bouquets as X and then the number of hearts as X-15 rather just Y.
Then you have the following equation.
Factor it out to get
Check it's right by plugging these numbers into the formuler 5x+3y=339
So they sold 48 roses and 33 hearts.
You have two equations, let games be x and y be rides
Take the first equation and set x alone on one side of the equation
5x=28.75-6y <- Divide this by 5 to get x
Substitute this for x in the second equation and you get
You'll want to express the number of students in each of the periods as a function of the number of students in a reference period.
Let x be first period, y second periodand z third period
We know what y=2x and z=3x-10
Which you can then rewrite as a function of X
So first semester 28 students, second semester 56 students and third semester 74 students.
Here you have sneakers (x), socks (y) and shirt (z). Each of these can be expressed as a function of the sneakers. For example the shirt (z) is 0.4 times the price (40%) of the sneakers, and so on. Then we have the following:
If y is 0.2z then y can also be writen as 0.2*0.4x=0.08x
Sneakers cost 80, shirt costs 32 and the socks costs 6.4
Since know the number of tickets is 84, the number of children's tickets can expressed as the total number of tickets minus the adult tickets or 84-x where x is the number of adult tickets. Then we have the following equation:
Factor out the equation to get
Next up we get x alone on the left side of the equation and get
You can check this by putting the values into the equation: 47*105+60*37
To calculate this you'll just need to multiply each of the exchange rates. So bunnies are worth 0.75 chickens (3/4), chickens are worth 0.4 pigs and pigs are worth 0.67 donkeys.
Multiply all of these > 0.75*0.4*0.67=0.2
Since we now know a bunniesis worth 0.2 donkeys we then need (1/0.2=5) 5 bunnies to trade for a donkey.
Please type if you need more clarification.