Elana was working to code protocols for computer processing.

Question

Elana was working to code protocols for computer processing. She did 11/18 of the job and allowed Andy to finish it. They both work at the same rate and receive the same hourly pay. If the difference between the amounts they were paid was $154, what was the total amount the two were paid for the entire coding job?

A. $252.00
B. $269.50
C. $369.00
D. $423.50
E. $693.00

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ManifestDreamMBA · Answer

Let total amount be x
Elana's share = 11x/18
Andy's share = 1-11x/18 = 7x/18
Difference = 11x/18-7x/18 = 4x/18
4x/18 = 154
x = 154*18/4 = 693

Missinga · Answer

Let the total amount=m 
Elana worked= (11/18)m 
Andy worked= 1-(11/18)m= (7/18)m 
Difference in the amounts paid= 154 
(11/18)m-(7/18)m=154 
(11-7)m=154*18 
4m=154*18 
m=77*9= 693

Answer: E

NextstopISB · Answer

Step 1: Define Variables 
Let: 
- x = number of cappuccinos sold 
- y = number of juices sold

Since the café sold 50 percent more juice than cappuccinos, we set up the equation: 
y = x + (1/2)x = (3/2)x

Total customers served = x + y: 
x + y = x + (3/2)x = (5/2)x

Step 2: Brownie Equation 
The problem states that one-third of the customers who did not buy a cappuccino also bought a brownie. 
- Customers who did not buy a cappuccino = y 
- Customers who bought a brownie = (1/3)y

So, the number of brownies sold is: 
(1/3)y

Step 3: Bagel Equation 
Three-fourths of the total customers bought a bagel, meaning: 
(3/4) (x + y)

And we are given that the number of bagels sold was 300 more than three times the number of brownies: 
(3/4) (x + y) = 3 * (1/3)y + 300 
(3/4) (x + y) = y + 300

Step 4: Solve for x 
Substituting y = (3/2)x: 
(3/4) (x + (3/2)x) = (3/2)x + 300 
(3/4) * (5/2)x = (3/2)x + 300 
(15/8)x = (3/2)x + 300

Multiply everything by 8 to clear fractions: 
15x = 12x + 2400 
3x = 2400 
x = 800

Step 5: Find Total Customers 
x + y = x + (3/2)x = (5/2)x = (5/2) * 800 = 2000

Final Answer: 
D. 2000

tomloveless · Answer

11x/18 - 7x/18 = 154
4x = 2772
x = 693

Elana was working to code protocols for computer processing.

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Elana was working to code protocols for computer processing.

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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745 with Only Self-Prep and GMAT Club

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