For this case, the first thing we must do is define variables.
We have then:
f: number of points that fabio scored.
c: number of points that Carlos scored.
We now write the equation that models the problem:
Then, for f = 31 we have:
From here, we clear the number of points:
Answer:
The equation to find the number of carlos points is:
Then, Carlos scored:
Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3
Step-by-step explanation:
The data we have is:
Gonzales has $42.50
He wants to buy:
a shirt that costs $29
some bracelets that cost $4.50 each.
The equation that we need to solve is:
Total cost = money that Gonzales has.
The cost is $29 + x*$4.50
where x is the number of bracelets he can buy.
The equation that we need to solve is:
$29 + x*$4.50 = $42.50
to solve it we must isolate x:
x*$4.50 = $42.50 - $29 = $13.50
x = 13.50/4.50 = 3
So we have that Mr. Gonzales can buy a total of 3 bracelets.
Answer:
Sofia will order 7 more rolls of sushi (84 pieces) and pay $56
Step-by-step explanation:
They need at least 100 pieces of sushi
Sofia had ordered and paid for 24 pieces of sushi already
Sushi comes in rolls
Each roll=12 pieces at $8
R=additional rolls that Sofia orders
Additional sushi= Needed sushi - ordered sushi
=100-24
=76 pieces of sushi
Each roll has 12 pieces
76/12=6.33
Sofia has to order in rolls
So, she will order 7 more rolls of sushi of 12 pieces each
12*7=84 pieces
Recall, that they needed at least 100 pieces, so the number of pieces could be more than 100
If Sofia orders 84 pieces + the already ordered 24 pieces
Total pieces=108 pieces
She has paid for 24 pieces (3 rolls) at $8 per roll
7 rolls=$8*7
=$56
d ( f o c) / dt = 9
( solution is attached below)
