17. Q17
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<p>Lina has a total of 41 loonies and toonies in her piggy bank. Their total value is <code class='latex inline'>\$59</code>.</p><p>a) Write one equation for the total number of coins and a second equation for the total value.</p><p>b) Graph both lines.</p><p>c) Determine the coordinates of the point of intersection of the lines.</p><p>d) How do you know that the coordinates of the point of intersection are the only possible combination of loonies and toonies that meets the condition of this situation?</p> Similar Question 2 <p>Lina has a total of 41 loonies and toonies in her piggy bank. Their total value is <code class='latex inline'>\$ 59</code>.</p><p>a) Write one equation for the total number of coins and a second equation for the total value.</p><p>b) Graph both lines.</p><p>c) Determine the coordinates of the point of intersection of the lines.</p><p>d) How do you know that the coordinates of the point of intersection are the only possible combination of loonies and toonies that meets the condition of this situation?</p>
Similar Question 3
<p>Jenny has nickels, dimes, and quarters in her piggy bank. In total, she has 49 coins, with a value of $5.20. If she has five more dimes than all the nickels and quarters combined, how many of each type of coin does she have?</p> Similar Questions Learning Path L1 Quick Intro to Factoring Trinomial with Leading a L2 Introduction to Factoring ax^2+bx+c L3 Factoring ax^2+bx+c, ex1 Now You Try <p>The table shows the <code class='latex inline'>y</code> value , in dollars, of a rate coin that is <code class='latex inline'>x</code> years old.</p><img src="/qimages/1355" /> <ul> <li>Use the equation to find the value of the coin after 15 years.</li> </ul> <p>Olivia has equal numbers of nickels, dimes and quarters. Their total value is$2.00 How many of each kind of coin does she have?</p>
<p>Jose has <code class='latex inline'>\$32.00</code> in loonies and toonies. </p> <ul> <li>Write an equation to express the number of toonies in terms of the number of loonies. </li> </ul> <p>Jose has <code class='latex inline'>\$32.00</code> in loonies and toonies. </p> <ul> <li>Use your equation to determine which one of the following is a possible combination of coins Josh could have.</li> </ul>
<p>Jose has <code class='latex inline'>\$32.00</code> in loonies and toonies. </p> <ul> <li>Is it possible that Jose has 13 toonies and 5 loonies? Explain.</li> </ul> <p>David has 16 dimes and quarters. Colin has twice as many dimes and <code class='latex inline'>\frac{1}{3}</code> as many quarters as David.</p><p>They both have the same amount of money. How many coins of dimes and quarters did David have?</p><img src="/qimages/1357" /> <p>Jose has <code class='latex inline'>\$32.00</code> in loonies and toonies. </p> <ul> <li>Write a linear relation expressing the total amount of money in terms of the number of loonies and toonies..</li> </ul>
<p>Jenny has nickels, dimes, and quarters in her piggy bank. In total, she has 49 coins, with a value of $5.20. If she has five more dimes than all the nickels and quarters combined, how many of each type of coin does she have?</p> <p>David has 16 dimes and quarters. Colin has twice as many dimes and <code class='latex inline'>\frac{1}{3}</code> as many quarters as David.</p><p>They both have the same amount of money. How many coins of dimes and quarters did David have?</p><img src="/qimages/1357" /><p><a href="https://youtu.be/YZWjXFNMJww">HINT</a></p> <p>Define suitable variables for each situation, and write an equation. </p> <ul> <li>A piggy bank contains <code class='latex inline'>\$5.25</code> in nickels and dimes.</li> </ul>
<p>A total of 27 coins, in nickels and dimes, are in a wallet. If the coins total $2.15, how many of each type of coin are there?</p> <p>The value of the nickels and dimes in Tin&#39;s wallet is <code class='latex inline'>70</code> cents. Write an equation to represent this information. Then, write an equivalent linear equation using <code class='latex inline'>n</code> as number of nickels and <code class='latex inline'>d</code> as number of dimes.</p> <p> Which expression gives the value in dollars of <code class='latex inline'> d </code> dimes?</p><p>A <code class='latex inline'> 0.10 d </code> </p><p>B <code class='latex inline'>\displaystyle 0.10+d </code></p><p>C <code class='latex inline'>\displaystyle \frac{0.10}{d} </code></p><p>D <code class='latex inline'> 10 d </code> </p> <p>Ben has <code class='latex inline'>\$42.50</code> in quarters and dimes. </p><p>Write a linear relation expressing the total amount of money in terms of the number of quarters and dimes.</p>
<p>The table shows the <code class='latex inline'>y</code> value , in dollars, of a rate coin that is <code class='latex inline'>x</code> years old.</p><img src="/qimages/1355" /> <ul> <li>Find the equation of this relationship.</li> </ul>
<p>Lina has a total of 41 loonies and toonies in her piggy bank. Their total value is <code class='latex inline'>\\$ 59</code>.</p><p>a) Write one equation for the total number of coins and a second equation for the total value.</p><p>b) Graph both lines.</p><p>c) Determine the coordinates of the point of intersection of the lines.</p><p>d) How do you know that the coordinates of the point of intersection are the only possible combination of loonies and toonies that meets the condition of this situation?</p>
<p>You have two quarters, a dime, and a nickel. How many different sums of money can you make?</p>
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