Mathematics Grade 12 45 min

Solve a system of equations using elimination: word problems

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1

The sum of two numbers is 15 and their difference is 5. What are the numbers?

2

2 lattes and 1 muffin cost $9. 2 lattes and 3 muffins cost $13. Find the cost of each.

3

A farm has 10 animals, all chickens and pigs. There are 28 legs total. How many of each?

Sample Practice Questions

Easy
The sum of two numbers is 10 and their difference is 2. What are the numbers?
0.x=6, y=4
1.x=5, y=5
2.x=7, y=3
3.x=8, y=2
Easy
At a store, 3 shirts and 1 hat cost $70. 3 shirts and 2 hats cost $110. Find the cost of a shirt and a hat.
0.s=$10,h=$40
1.s=$15,h=$25
2.s=$20,h=$10
3.s=$10,h=$50
Easy
One number is double a second number. Their sum is 21. What are the numbers?
0.10 and 11
1.14 and 7
2.15 and 6
3.12 and 9

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