Answer: 60 cappuccinos were sold.
Explanation:
x = number of lattes sold
y = number of cappuccinos sold
Two equations can be set up:
x + y = 78
4x + 3y = 252
The first equation can be rearranged and substituted into the other equation to find the value of a variable.
y = 78 - x
4x + 3(78 - x) = 252
4x + 234 - 3x = 252
x + 234 = 252
x = 18
To find y, the value of x can be substituted into either equation.
x + y = 78
18 + y = 78
y = 60
To check answers, substitute both values into the original equations and make sure they work.
x + y = 78
18 + 60 = 78
78 = 78
4x + 3y = 252
4(18) + 3(60) = 252
72 + 180 = 252
252 = 252
Since lines with the same slope are parallel all u have to change about the original equation is the y intercept(b), so u just plug in the point into their variable and solve for b.
Answer: y=2x+2
My work:
Supplier B would cost $600 more than supplier A. Then the correct option is B.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A food production company is choosing between two suppliers of grain.
Let y be the cost and x be the number of bushels.
Supplier A sells grain for $5.25 per bushel plus a delivery fee of $3 per bushel.
y₁ = (5.25 + 3)x
y₁ = 8.25x
Supplier B sells the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week.
y₂ = 6.5x + 1500
Then the supplier would cost more if the production company bought 500 bushels of grain each week will be
For supplier A, we have
y₁ = 8.25 × 500
y₁ = $ 4125
For supplier B, we have
y₂ = 6.5 × 500 + 1500
y₂ = $ 4750
Then we have
y₂ - y₁ = 4750 - 4125
y₂ - y₁ = $ 625
Then the correct option is B.
More about the Algebra link is given below.
brainly.com/question/953809
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