Problem Solving In Math Examples With Answers

We know there are seven days in the week, so: d e = 7 And she trains 27 hours in a week, with d 5 hour days and e 3 hour days: 5d 3e = 27 We are being asked for how many days she trains for 5 hours: d Solve: The number of "5 hour" days is 3 Check: She trains for 5 hours on 3 days a week, so she must train for 3 hours a day on the other 4 days of the week.3 × 5 hours = 15 hours, plus 4 × 3 hours = 12 hours gives a total of 27 hours So Joel’s normal rate of pay is per hour Check Joel’s normal rate of pay is per hour, so his overtime rate is 1¼ × per hour = per hour.

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There wasn’t enough gum for all her friends, so she went to the store and got 70 pieces of strawberry gum and 10 pieces of bubble gum. Adrianna has 100 pieces of gum to share with her friends.

When she went to the park, she shared 10 pieces of strawberry gum.

How many kilometres did the students run on Thursday? To make the Leaning Tower of Pisa from spaghetti, Mrs. Her students were able to make 10 leaning towers in total.

How many kilograms of spaghetti does it take to make 1 leaning tower?

Which band has the higher ratio of trumpet to saxophone players?

Mary surveyed students in her school to find out what their favourite sports were.

Check −14: −14(−14 2) = (−14)×(−12) = 168 YES Check 12: 12(12 2) = 12×14 = 168 YES So there are two solutions: -14 and -12 is one, 12 and 14 is the other.

Note: we could have also tried "guess and check": And so L = 8 or −14 There are two solutions to the quadratic equation, but only one of them is possible since the length of the room cannot be negative!

Markus has 3 bags with the same amount of marbles in them, totaling 18 marbles. During gym class on Wednesday, the students ran for ¼ of a kilometre.

How many more marbles does Markus have in each bag? On Thursday, they ran ½ as many kilometres as on Wednesday.


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