Question
1. Solve for x: a. (x)/(18)=(5)/(6) b. (12)/(x)=(42)/(8) 2. If 1 Euro is 1.48 CAD, how many Euros is 750 S750 CAD? 3. If 1 Russian ruble is 0.017 CAD, how many Canadian dollars is 12,000 rubles? 4. You just came home from a vacation in Mexico and have 500 .00 pesos left over If the bank buys pesos at 0.069CAD how much will you get back in Canadiar dollars? 5. Convert 2000 Japanese Yen to Canadian dollars. The exchange rate is 1CAD=86.81 Japanese yen.
Solution
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HankMaster · Tutor for 5 years
Answer
### 1a. $x = 15$<br />### 1b. $x = \frac{16}{7}$<br />### 2. Approximately 506.76 Euros<br />### 3. \$204 CAD<br />### 4. \$34.50 CAD<br />### 5. Approximately \$23.04 CAD
Explain
## Step 1: Solving for x in $\frac{x}{18} = \frac{5}{6}$<br />### Cross-multiply to get $6x = 5 \times 18$, which simplifies to $6x = 90$. Divide both sides by 6 to find $x = \frac{90}{6} = 15$.<br /><br />## Step 2: Solving for x in $\frac{12}{x} = \frac{42}{8}$<br />### Cross-multiply to get $12 \times 8 = 42x$, which simplifies to $96 = 42x$. Divide both sides by 42 to find $x = \frac{96}{42} = \frac{16}{7}$.<br /><br />## Step 3: Converting \$750 CAD to Euros<br />### Given 1 Euro = \$1.48 CAD, divide the amount in CAD by the exchange rate to find the equivalent amount in Euros: $\frac{\$750}{\$1.48/Euro} \approx 506.76$ Euros.<br /><br />## Step 4: Converting 12,000 rubles to CAD<br />### Given 1 ruble = \$0.017 CAD, multiply the amount in rubles by the exchange rate to find the equivalent amount in CAD: $12000 \times \$0.017 = \$204$ CAD.<br /><br />## Step 5: Converting 500 pesos to CAD<br />### Given 1 peso = \$0.069 CAD, multiply the amount in pesos by the exchange rate to find the equivalent amount in CAD: $500 \times \$0.069 = \$34.50$ CAD.<br /><br />## Step 6: Converting 2000 Japanese Yen to CAD<br />### Given \$1 CAD = 86.81 Yen, divide the amount in Yen by the exchange rate to find the equivalent amount in CAD: $\frac{2000}{86.81} \approx \$23.04$ CAD.
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