Newt Scamander bought 10 dragon eggs and 5 bowtruckles (saving them from the blackmarket) for a total of 1200 galleons. If dragon eggs cost 60 galleons more than bowtruckles, how much did they each cost?
100 galleons for Dragon
40 for Bowtruckles.
Solve by graphing
y+3x=5
y=2x-10
(3,-4)
Solve using substitution. y=3x+13 and y=-2x-2
x=-3 and y=4
Solve using substitution y=4x+7 and y=-7x+15
x= 2 and y=1
Solve using any method. Mike and Shawna each improved their yards by planting grass sod and shrubs. Mike spent $143 on 11 ft² of grass sod and 11 shrubs. Shawna spent $119 on 7 ft² of grass sod and 11 shrubs. What is the cost of each?
grass $6 and shrub $7
Hogwarts is selling tickets to the quidditch finals. On the first day, the school sold 2 teacher tickets and 8 student tickets for a total of 90 knuts. Then the school took in 115 by selling 7 teacher tickets and 8 student tickets.
5 knuts for teacher tickets, and 10 knuts for student's tickets.
At his joke shop, George Weasley sells 25 fake wands and 21 extendable ears. From that alone, he makes 523 galleons. If a fake wand costs 10 galleons, how much does one extendable ear cost?
13 galleons
Solve by graphing
y=2x+4
y=2x-5
No solution
Jacob Kowalski is selling pastries in his new shop. He sells 5 niffler pastries, and 12 erumpent pastries for a total of 39 pounds. If a niffler pastry is one pound more than an erumpent pastry, how much to they each cost?
3 pounds for Niffler,
2 pounds for Erumpent
Solve using elimination
2x+3y=-4
4x-25y=-8
x=-2 and y=0
Luna and Neville each improved their yards by planting devil's snare and geraniums. Luna spent 94 sickles on 4 devil's snare and 6 geraniums. Neville spent 194 on 14 devil's snare, and 6 geraniums. What is the cost of each?
10 sickles for Devil's snare, and 9 sickles for geraniums.
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