Answer
Question 1
4 pants
11 shirts
Question 2
Shady has 30 video games.
Preston has 19 video games.
Question 3
1 muffin costs $1.5
1 quart of milk costs $3
Explanation
Question 1
Let the number of shirts be s
Let the number of pants be p
She bought a total of 15 shirts and shirts
s + p = 15
She bought 7 more shirts than pants.
s = 7 + p
So, we can solve the simultaneous equation.
s + p = 15
s = 7 + p
Substitute for s in equation 1
s + p = 15
7 + p + p = 15
7 + 2p = 15
2p = 15 - 7
2p = 8
Divide both sides by 2
(2p/2) = (8/2)
p = 4 pants
s = 7 + p = 7 + 4 = 11 shirts
Question 2
Let the number of games Shady has be s
Let the number of games Preston has be p
Together, they have a total of 49 video games
s + p = 49
Shady has 11 more games than Preston.
s = 11 + p
So, we can solve the simultaneous equation.
s + p = 49
s = 11 + p
Substitute for s in equation 1
s + p = 49
11 + p + p = 49
11 + 2p = 49
2p = 49 - 11
2p = 38
Divide both sides by 2
(2p/2) = (38/2)
p = 19 video games
s = 11 + p = 11 + 19 = 30 video games
Question 3
Let the cost of a muffin be m
Let the cost of a quart of milk be q
The cost of 8 muffins and 2 quarts of milk is $18.
8m + 2q = 18
The cost of 3 muffins and 1 quart of milk is $7.50
3m + q = 7.5
So, we can solve the simultaneous equation
8m + 2q = 18
3m + q = 7.5
Solving this,
m = 1.5 dollars
q = 3 dollars
Hope this Helps!!!
