Word problems that need two equations
Grade 8 Math Worksheet
Circle the best answer, or write your answer on the line.
Noah's hall has 11 tables, x with 4 seats and y with 8 seats, 60 seats in all. What two equations fit? Write the tables equation, a comma, then the seats equation.
Pia counts x ducks and y horses at a farm: 15 animals and 44 legs. What two equations fit? Write the animals equation, a comma, then the legs equation.
Ren's quiz has 16 questions worth 2 or 5 points, 47 points in all. How many of each kind are there? Give (2-point, 5-point).
Tala's camp has 13 sailboats out on the lake, small ones with 2 seats and big ones with 3, and all 32 seats are full. How many of each? Give (small, big).
Zee counts 18 bikes and cars at the park, with 52 wheels in all (a bike has 2, a car has 4). How many of each? Give (bikes, cars).
Ari's class picnic has 14 bottles of water, 1-liter and 2-liter ones, 23 liters in all. How many of each size? Give (1-liter, 2-liter).
Esme has read 30 pages of a comic, with 12 more each day, and 72 pages of a novel, with 5 more a day. When are the totals equal? Give (days, pages).
A team scored 40 points with 17 baskets, 2-pointers and 3-pointers. Kira says 11 two-pointers and 6 three-pointers. Does that fit the story?
- No: it fits neither fact.
- No: it fits only the points.
- Yes: it fits both facts.
- No: it fits only the number of baskets.
A party has 12 tables with 4 or 6 seats, 58 seats in all. Luz guesses 8 four-seat and 4 six-seat tables. Does the guess fit the story?
- No: it fits only the seats.
- No: it fits neither fact.
- No: it fits only the number of tables.
- Yes: it fits both facts.
A quiz has 20 questions worth 2 or 5 points, 61 points in all. Milo guesses 8 two-point and 9 five-point questions. Does the guess fit the story?
- No: it fits only the number of questions.
- No: it fits neither fact.
- No: it fits only the points.
- Yes: it fits both facts.