1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paladinen [302]
3 years ago
6

A coffee cart sells coffee for $2 and tea for S1.50. On Thursday, a total of 59 cups were used to serve tea and coffee, and the

cart operator collected a total of $108.50 from tea and coffee sales. Modules Grades How many cups of tea and cups of coffee were sold? Syllabus Select the correct answer below: There were 20 cups of coffee and 39 cups of tea sold. O There were 42 cups of coffee and 17 cups of tea sold. There were 30 cups of coffee and 29 cups of tea sold. There were 40 cups of coffee and 19 cups of tea sold. There were 33 cups of coffee and 26 cups of tea sold
Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

There were 40 cups of coffee and 19 cups of tea sold.

Step-by-step explanation:

Total number of cups sold = 59

Let the number of tea cups = x

Let the number of coffee cups = y

Then, \[x+y=59\] ------------------- (1)

Total amount collected = $108.50

=> \[1.5 x + 2y = 108.50\]  -------------------- (2)

From (1), \[y=59 - x\] ------------------------ (3)

Substituting in (2):

=> \[1.5 x + 2 (59-x) = 108.50\]

=> \[1.5 x + 118- 2x = 108.50\]

=> \[-0.5 x = -9.5\]

=> \[x = 19\]

Substituting in (3):

\[y=59 - 19\]

=>\[y=40\]

You might be interested in
Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much wi
Anna [14]

Answer:

$25.20

Step-by-step explanation:

First, take the 50% off the sales price:

($48)*(-0.50) = -$24.

($48 - $24) = $24 sale price.

Tax on $24 is ($24)*(0.05) = $1.20

Add the price and sales tax:

$24 + $1.20 = $25.20

5 0
2 years ago
Omar's gas tank is 1/10 full. After he buys 6 gallons of gas, it is 2/5 full. How many gallons can Omar's tank hold?
castortr0y [4]
1/10x + 6 = 2/5x
6 = 2/5x - 1/10x
6 = 4/10x - 1/10x
6 = 3/10x
6 / (3/10) = x
6 * 10/3 = x
60/3 = x
20 = x <=== the gas tank can hold 20 gallons
4 0
3 years ago
HELP WILL GIVE BRAINLIEST
SVEN [57.7K]

Answer:

5/8 = 20/32

Step-by-step explanation:

if you multiply the denominator and the numerator of 5/8 by 4 it will equal 20/32

4 0
2 years ago
Read 2 more answers
Rewrite 12/17 as a decimal number. Round to the nearest thousandth.
Natasha_Volkova [10]

Answer:

0.706

Step-by-step explanation:

Convert 12/17 to decimal by dividing the numerator by denominator.

12 ÷ 17 = 0.70588.......

The nearest thousandth is the third decimal place.

If we round up: 0.706

If we round down: 0.705

Because the fourth digit is "8", we round up.

If the digit after the one you want to round to is 5 or greater, then you round up. If the digit after is 4 or less, round down..

12 ÷ 17 = 0.70588....... ≈ 0.706

4 0
3 years ago
7. Mike earns $12.00 per hour at a restaurant. On Thursday he spent 1 1/4 hours on
Goryan [66]
$68.60 would be the correct answer
6 0
3 years ago
Other questions:
  • Find two consecutive odd integers whose product is 323
    13·1 answer
  • Help please!!. <br> Graph the function: f(x) = cos(2x)+1<br> Please plot 5 points on the graph
    14·1 answer
  • Helppppppppppp me pleaseeee
    14·1 answer
  • Which lines have a slope of 1/2?
    13·1 answer
  • Write a number that has four digits with the same number in all places, such as 4,444
    13·1 answer
  • What is the solution to the equation below. Round your answer to two
    13·2 answers
  • Pablo purchased adult and youth tickets for the football game. He bought x adult tickets for $74 each and y youth tickets for $3
    15·1 answer
  • Find the slope of the line that contains (-2,-2) and (-10,-9).
    6·2 answers
  • Which Venn diagram correctly describes the relationship between whole numbers and integers?​
    7·1 answer
  • 6x1 + 9 x 1/10 + 8 x 1/100 + 3 x 1/1000=?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!