<p>(1) If you subtract a number from three times that number, the result is §§V0(20,50,1)§§. What is that number?</p> <p>(2) In one pocket, I have a certain amount of money, and in the other, I have double that amount. In total, I have §§V1(100,1000,50)§§ €. How much € do I have in each pocket?</p> <p>(3) The sum of a natural number and the next number is §§V2(11,301,2)§§. Set up an equation and solve the problem.</p> <p>(4) The sum of a number and its half is equal to §§V3(30,70,1)§§. What is that number?</p> <p>(5) §§Fm0§§ asks §§M1§§ how old he is, and he replies: half of my age, plus a third, plus a quarter, plus a sixth of my age add up. How old is §§M1§§ if he is older than §§V4(10,20,1)§§ years?</p> <p>(6) Double a number decreased by §§V5(5,15,1)§§ is equal to §§V6(10,40,1)§§. What is that number?</p> <p>(7) A number plus double the previous number is equal to §§V7(15,35,1)§§. What are those numbers?</p> <p>(8) The sum of the fifth and sixth parts of a number is §§V8(20,80,5)§§ mg less than its half. What is the recommended daily amount of cholesterol in mg?</p> <p>(9) The perimeter of a triangle is §§V9(15,60,3)§§ cm, and the sides are three consecutive numbers. What is the length of each side?</p> <p>(10) §§M2§§ says to §§Fm3§§: I have twice as many euros as you. If together they have §§V10(10,40,2)§§ euros, how much does each have?</p> <p>(11) The sum of three consecutive numbers is §§V11(30,90,3)§§. What are those numbers?</p> <p>(12) What number, increased by its half and its third, gives the sum §§V12(60,150,5)§§?</p> <p>(13) §§N4§§ is §§V13(5,20,1)§§ years older than three times the age of §§M5§§. If together they are §§V14(40,100,2)§§ years old, how old is each?</p> <p>(14) The sum of double a number and an additional §§V15(5,20,1)§§ is equal to triple that number. What is that number?</p> <p>(15) A triangle has two equal sides and one side that is §§V16(2,10,1)§§ cm shorter. The total perimeter of the triangle is §§V17(30,80,2)§§ cm. What is the length of each side?</p> <p>(16) §§Fm6§§ bought §§V18(3,10,1)§§ notebooks, and each costs §§V19(5,20,1)§§ kuna. If she paid a total of §§V20(50,200,5)§§ kuna, how much change did she receive?</p> <p>(17) What number multiplied by §§V21(2,5,1)§§ and increased by §§V22(10,25,1)§§ gives the result §§V23(40,100,5)§§?</p> <p>(18) §§M7§§ saved three times as much as §§N8§§. If together they saved §§V24(60,150,5)§§ €, how much did each save?</p> <details> <summary>Instructions:</summary> <h4><b>Solving a Single-Variable Equation</b></h4> <p>This is an example of solving a simple linear equation step by step.</p> <h4>Problem:</h4> <p><strong>\( 3x + 5 = 14 \)</strong></p> <h4>Solution:</h4> <p><strong>Step 1:</strong> Subtract 5 from both sides.</p> <p>\( 3x + 5 - 5 = 14 - 5 \)</p> <p>\( 3x = 9 \)</p> <p><strong>Step 2:</strong> Divide both sides by 3.</p> <p>\( \frac{3x}{3} = \frac{9}{3} \)</p> <h4>Solution: \( x = 3 \)</h4> <p><strong>Check:</strong> Substitute \(x = 3\) back into the original equation.</p> <p>\( 3(3) + 5 = 9 + 5 = 14 \)</p> <p>Since \( 14 = 14 \), the solution is correct.</p> </details>