System of linear equations (Grade 10 Math) Word ProblemsGrade 10 Math Word Problems
System of linear equations (Grade 10 Math) Word Problems
Sara is 5 years older than Jane. The sum of their ages is 35. How old is each?
Sarah has $20 in nickels and dimes. She has a total of 160 coins. How many of each does she have?
A person invests $4,000 in two accounts, one yielding 4% interest and the other 6% interest. The total annual interest is $220. How much is in each account?
A chemical solution contains 20% salt. How many liters of a 30% solution must be added to 5 liters of a 10% solution to make a 25% solution?
Alex is driving from City A to City B, which is 240 miles away. He drives the first 120 miles at 60 mph and the rest at 40 mph. How long does the trip take?
A fruit vendor sells apples for $0.50 each and oranges for $0.75 each. If he sells 50 fruits for $32, how many of each did he sell?
Mia has 20 coins, consisting of nickels and dimes, with a total value of $1.45. How many nickels and dimes does she have?
Tom had $12,000. He invested a portion at 8% return per annum and the rest at 6% return per annum. After one year, he earned $290 as simple interest from both investments. How much did he invest at each rate?
Tom had $12,000. He invested a portion at 7% return per annum and the rest at 5% return per annum. After one year, he earned $260 as simple interest from both investments. How much did he invest at each rate?
Tom had $12,000. He invested a portion at 6% return per annum and the rest at 4.5% return per annum. After one year, he earned $225 as simple interest from both investments. How much did he invest at each rate?
Tom had $12,000. He invested a portion at 9% return per annum and the rest at 7.2% return per annum. After one year, he earned $360 as simple interest from both investments. How much did he invest at each rate?
Word Problems
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Answers
Sara is 5 years older than Jane. The sum of their ages is 35. How old is each?
Jane is 15 years old.
Sara is 20 years old.
Sarah has $20 in nickels and dimes. She has a total of 160 coins. How many of each does she have?
Sarah has 80 nickels and 80 dimes.
A person invests $4,000 in two accounts, one yielding 4% interest and the other 6% interest. The total annual interest is $220. How much is in each account?
$1,000 is invested at 4%.
$3,000 is invested at 6%.
A chemical solution contains 20% salt. How many liters of a 30% solution must be added to 5 liters of a 10% solution to make a 25% solution?
5 liters of the 30% solution must be added to the 5 liters of the 10% solution to make a 25% solution.
Alex is driving from City A to City B, which is 240 miles away. He drives the first 120 miles at 60 mph and the rest at 40 mph. How long does the trip take?
The entire trip takes 4 hours.
A fruit vendor sells apples for $0.50 each and oranges for $0.75 each. If he sells 50 fruits for $32, how many of each did he sell?
The vendor sold 16 apples and 34 oranges.
Mia has 20 coins, consisting of nickels and dimes, with a total value of $1.45. How many nickels and dimes does she have?
Mia has 5 nickels and 15 dimes.
Tom had $12,000. He invested a portion at 8% return per annum and the rest at 6% return per annum. After one year, he earned $290 as simple interest from both investments. How much did he invest at each rate?
$2,000 is invested at 8%.
$10,000 is invested at 6%.
Tom had $12,000. He invested a portion at 7% return per annum and the rest at 5% return per annum. After one year, he earned $260 as simple interest from both investments. How much did he invest at each rate?
$4,000 is invested at 7%.
$8,000 is invested at 5%.
Tom had $12,000. He invested a portion at 6% return per annum and the rest at 4.5% return per annum. After one year, he earned $225 as simple interest from both investments. How much did he invest at each rate?
$3,000 is invested at 6%.
$9,000 is invested at 4.5%.
Tom had $12,000. He invested a portion at 9% return per annum and the rest at 7.2% return per annum. After one year, he earned $360 as simple interest from both investments. How much did he invest at each rate?