Michael has  44  times as much money as Daniel. Both boys have a total of  $150$150.

Answer

**(a)**

What is the ratio of Michael's amount of money to Daniel's amount of money to their total amount of money?

⁣:  :

⁣:     :

**(b)**

What fraction of their total money is Michael's money ?

**(c)**

What fraction of amount of money Daniel has to that of Michael?

**(d)**

How much money does Michael has?

Let's solve the problem step by step.

We know that Michael has 44 times as much money as Daniel, and together they have $150.

Let the amount of money Daniel has be $ x $.

Then, the amount of money Michael has is $ 44x $.

Their total amount of money is:
\[
x + 44x = 150
\]
\[
45x = 150
\]
\[
x = \frac{150}{45} = 3.33
\]

Thus, Daniel has \$3.33 and Michael has:
\[
44 \times 3.33 = 146.67
\]

### Part (a)
The ratio of Michael's amount of money to Daniel's amount of money to their total amount of money is:
\[
146.67 : 3.33 : 150
\]
This simplifies approximately to:
\[
44 : 1 : 45
\]

### Part (b)
The fraction of their total money that is Michael's money is:
\[
\frac{146.67}{150} = \frac{44}{45}
\]

### Part (c)
The fraction of the amount of money Daniel has to that of Michael is:
\[
\frac{3.33}{146.67} = \frac{1}{44}
\]

### Part (d)
Michael has \$146.67.

---

Would you like more details or have any questions?

Here are 5 related questions:
1. If Daniel had $5 instead of $3.33, how much would Michael have?
2. What would the total be if Michael had 30 times as much money as Daniel?
3. What percentage of the total money is Michael's?
4. What if their total money was \$180 instead of \$150?
5. How would the ratios change if Michael had twice the money he currently has?

**Tip:** Ratios and fractions can often be simplified by dividing both numbers by their greatest common divisor.

Michael has 44 times as much money as Daniel. Both boys have a total of $150. (a) What is the ratio of Michael's amount of money to Daniel's amount of money to their total amount of money? (b) What fraction of their total money is Michael's money? (c) What fraction of the amount of money Daniel has to that of Michael? (d) How much money does Michael have?

Learn how to solve a problem where Michael has 44 times as much money as Daniel, with a total of $150 between them. This solution covers ratios, fractions, and algebraic expressions to find out how much each person has and the relationships between their amounts. Suitable for students in Grades 6-8.

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