Jasina has a total of $0.80 in nickels and dimes, and she has 4 more nickels than dimes. Which of the following systems of equations can be used to find out how many n nickels and d dimes she has? Choose 1 answer: (A) d+n=4 0.1 d+0.05 n=0.8 (B) d+4=n 0.1 d+0.05 n=0.8 (C) d-n=4 0.1 d+0.05 n=0.8 (D) n-d=-4 0.1 d+0.05 n=0.8

Question

Bytelearn · Accepted Answer

Translate Equation Relationship: Translate the information about the number of nickels and dimes into an equation. Jasina has 4 more nickels than dimes. If we let n represent the number of nickels and d represent the number of dimes, then we can express this as n = d + 4.Translate Total Value Equation: Translate the information about the total value of nickels and dimes into an equation. Each nickel is worth $0.05 and each dime is worth $0.10. The total value of the nickels and dimes is $0.80. This can be expressed as 0.05n + 0.10d = 0.80.Identify Matching System of Equations: Identify the system of equations that matches the equations from Step 1 and Step 2. We are looking for a system of equations that includes both the relationship between the number of nickels and dimes (n = d + 4) and the total value of the nickels and dimes (0.05n + 0.10d = 0.80).Compare Given Options: Compare the options given with the equations we have formed. Option (A) d + n = 4 and 0.1d + 0.05n = 0.8 does not match our equations. Option (B) d + 4 = n and 0.1d + 0.05n = 0.8 matches our equations if we rearrange the first equation to n = d + 4. Option (C) d - n = 4 and 0.1d + 0.05n = 0.8 does not match our equations. Option (D) n - d = -4 and 0.1d + 0.05n = 0.8 does not match our equations.Select Correct Equations: Select the correct system of equations. The correct system of equations is given by Option (B) d + 4 = n and 0.1d + 0.05n = 0.8, which matches the equations we derived from the problem statement.

Full solution

More problems from Solve two-step equations: word problems

Related topics