Home › CAASPP Mathematics › Mathematics › Math Models › Maria has $2.43 in quarters and pennies, with tw…
Maria has $2.43 in quarters and pennies, with twice as many pennies as quarters. How many quarters does she have?
A18 quarters
B9 quarters
C27 quarters
D4 quarters
Answer & Solution
Correct answer: B. 9 quarters
1. Let q equal the number of quarters, so the number of pennies is 2q.
2. The total value equation is 0.25q plus 0.01(2q) equals 2.43.
3. Combine like terms: 0.27q equals 2.43.
4. Divide by 0.27 to get q equals 9 quarters.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_
Related questions
Remy has $14,000 to split between a fund paying 4% and a fund paying 7%. To earn 6.1% on tLeah sold 115 museum tickets for a total of $1,163. Adult tickets cost $12 and student ticSheila's salary fell from $42,000 last year to $37,800 this year because of furlough days.The average cost of a car in 2014 was $28,500, which was $1,500 less than 6 times the averA triangle has angles of 31 degrees and 128 degrees at two of its corners. How large is thMichaela has $2.05 in dimes and nickels, with seven more dimes than nickels. How many dimeAreli invested a principal of $950 at a 3% interest rate. How much simple interest did sheThe standard bus fare in Chicago rose from $1.50 in 1995 to $2.25 in 2008. What was the pe