Systems of equations

Word problems

Types of exercises: word problems with systems, word problems with systems - percentages.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Problem

John bought 12 tickets for 228 zl in total. A full ticket costs 31 zl and a reduced one 7 zl. How many full tickets and how many reduced ones were bought?

2

Problem

A family spent 3 930 zloty a month on rent and food together. The rent went up by 25% and the food spending by 20%, and now these costs total 4 814 zloty. How many zloty a month did the family spend on food before the rise?

3

Problem

Mary bought 11 tickets for 154 zl in total. A full ticket costs 17 zl and a reduced one 6 zl. How many full tickets and how many reduced ones were bought?

4

Problem

A family spent 4 260 zloty a month on rent and food together. The rent went up by 10% and the food spending by 5%, and now these costs total 4 538 zloty. How many zloty a month did the family spend on rent before the rise?

5

Problem

Julia bought 14 tickets for 134 zl in total. A full ticket costs 11 zl and a reduced one 7 zl. How many full tickets and how many reduced ones were bought?

6

Problem

2 kg of cherries and 4 kg of strawberries cost 116 zloty. If cherries were 20% cheaper and strawberries 25% cheaper, the same shopping would cost 89.20 zloty. How much does a kilogram of strawberries cost?

7

Problem

Ola bought 7 tickets for 140 zl in total. A full ticket costs 28 zl and a reduced one 14 zl. How many full tickets and how many reduced ones were bought?

8

Problem

1 kg of cherries and 6 kg of strawberries cost 89 zloty. If cherries were 50% cheaper and strawberries 30% cheaper, the same shopping would cost 57.70 zloty. How much does a kilogram of cherries cost?

9

Problem

Kate bought 7 tickets for 173 zl in total. A full ticket costs 35 zl and a reduced one 11 zl. How many full tickets and how many reduced ones were bought?

10

Problem

Two orchards produced 34 tonnes of apples in total. The next year the first orchard produced 25% more and the second 10% less than the year before - 34.8 tonnes together. How many tonnes of apples did the second orchard produce in the first year?

This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.

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Word problems - exercises with solutions (Systems of equations) | PhiBoard