Q1 - Understanding simultaneous equations
Solve these simultaneous equations.
4 pillows and 5 quilts cost $57
9 pillows and 5 quilts cost $72
Find the cost of one of each.
4p + 59 = 57
9p + 59 = 72
P =
and q =
3 apple pies and 5 banoffee cost $28
3 apple pies and 7 banoffee cost $38
Find the cost of one of each.
3a + 5b = 28
3a + 2b = 38
a =
C
and b =
6 mugs and 3 plates cost $21
3 mugs and 3 plates cost $15
Write down and solve simultaneous
equations (m is the cost of a mug and
p is the cost of a plate, in $).
cal
m =
and p =
[
0

Q1 Understanding simultaneous equations Solve these simultaneous equations 4 pillows and 5 quilts cost 57 9 pillows and 5 quilts cost 72 Find the cost of one of class=

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p and q are the numbers of pillows and quilts, respectively.
4p+5q = 57
9p+5q = 72

Subtract the second equation from the first equation.

4p+5q = 57
-9p-5q = -72
——————
-5p = -15

p = 3

4(3)+5q = 57
5q = 57-12 = 45
q = 9

A pillow costs $3. A quilt costs $9.