Answer:
cost of each video game = $5.50
cost of each movie = $4.25.
Step-by-step explanation:
Let m represent cost per movie
g represents cost per video game.
Create two equations to represent the total cost Tammy rented movie and video games in each month, and solve simultaneously for each variable:
First month:
=> equation 1
Second month:
=> equation 2
Multiply equation 1 by 4, and multiply equation 2 by 2 to derive:
4 ×
2 ×
=> equation 3
=> equation 4
Subtract equation 4 from equation 3
You'd have:
- 4g = - 22
Divide both sides by -4
g = 5.5
Thus, the cost of each video game = $5.50.
Substitute g = 5.5 in equation 1 and solve for m.
Subtract 16.5 from each side
Divide both sides by 2
Thus, cost of each movie = $4.25.
Three million, one hundred and fifty two thousand, three hundred and eight.
Answer:
4 cans of soup and 2 frozen dinners.
Step-by-step explanation:
Let the can of soup = x
Let frozen dinner s = y
Davis wants to the grocery store and purchased cans of soup and frozen dinners.
Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium.
David Purchased twice as many cans of soup as frozen dinners and they all collectively contain 2100 mg of sodium.
x = 2y
Hence:
250x + 550y = 2100
250(2y) + 550y = 2100
500y + 550y = 2100
1050y = 2100
y = 2100/1050
y = 2
Since
x = 2y
x = 2 × 2
x = 4
Hence,
the can of soup = x = 4
Let frozen dinner s = y = 2
Davis bought 4 cans of soup and 2 frozen dinners.