Ethan sells e candy bars for $2.50 apiece and Chloe sells c candy bars for $2.00 apiece to raise money for a school trip. Ethan sold 15 fewer candy bars than Chloe, but he also got a $6.00 donation. If Chloe and Ethan raised the same amount of money, which of the following systems could be used to find how many candy bars each sold? Choose 1 answer: (A) 2c=2.5 e+6 c=e-15 (B) 2c=2.5 e+6 e=c-15 (C) 2c+6=2.5 e c=e-15 (D) 2c+6=2.5 e e=c-15

Question

Ethan sells  e candy bars for  $2.50 apiece and Chloe sells  c candy bars for  $2.00 apiece to raise money for a school trip. Ethan sold 15 fewer candy bars than Chloe, but he also got a  $6.00 donation. If Chloe and Ethan raised the same amount of money, which of the following systems could be used to find how many candy bars each sold? Choose 1 answer: (A)  2c=2.5 e+6  c=e-15 (B)  2c=2.5 e+6  e=c-15 (C)  2c+6=2.5 e  c=e-15 (D)  2c+6=2.5 e  e=c-15

Bytelearn · Accepted Answer

Set Up Equations:  Step 1: Let's set up the equations based on the information given. Ethan's total money raised is from selling candy bars at $2.50 each plus a $6.00 donation. Chloe's total money raised is from selling candy bars at $2.00 each. They raised the same amount of money, so we can set their equations equal to each other. Calculate Candy Bars:  Step 2: Ethan sold 15 fewer candy bars than Chloe, so if Chloe sold c candy bars, then Ethan sold c - 15 candy bars. Write Ethan's Equation:  Step 3: Now let's write the equation for the money Ethan raised: 2.50(e) + 6. Since e = c - 15, we can substitute to get 2.50(c - 15) + 6. Write Chloe's Equation:  Step 4: Write the equation for the money Chloe raised: 2.00(c). Set Equations Equal:  Step 5: Since they raised the same amount of money, we can set the equations equal to each other: 2.50(c - 15) + 6 = 2.00(c). Simplify Equation:  Step 6: Now we need to find which answer choice matches our equation. Let's simplify our equation first: 2.5c - 37.5 + 6 = 2c. Final Simplification:  Step 7: Simplify further by adding 37.5 to both sides: 2.5c - 31.5 = 2c.

Full solution

More problems from Solve linear equations with variables on both sides: word problems

Related topics