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superangel94
13.03.2020 •
Mathematics
A restaurant sells slices for $2 and calzones for $3. On Monday, a total of 54 slices and calzones were sold, and the cashier collected a total of $120 from sales of slices and calzones. Let x represent the number of slices and y represent the number of calzones. Which system of equations represents the situation?
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Ответ:
{xx+1.5y==54−y60
The total number of slices and calzones sold is 54. This gives the equation x+y=54. Solve the equation for x to obtain x=54−y. The total cost of the slices plus the total cost of the calzones gives the total value, $120. The equation representing this situation is 2y+3x=120. Dividing both sides by 2 gives x+1.5y=60.
Ответ:
The system of equations is:
x + y = 54
2*x + 3*y = 120
And the solution is x = 42 y = 12
Step-by-step explanation:
x number of slices and
y number of calzones
On Monday they collected 120 $
Then 2*x + 3* y = 120
And the total of 54 slices and calzones were sold, then
x + y = 54
The system is:
x + y = 54
2*x + 3*y = 120
Solving for x and y
y = 54 - x
2*x + 3* ( 54 - x ) = 120
2*x + 162 - 3*x = 120 ⇒ - x = - 42
x = 42
And
y = 54 - 42 ⇒ y = 12
Ответ:
Your answer is D
Step-by-step explanation: