1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alchen [17]
3 years ago
9

Iago is interested in money. He has a collection of bills in his pocket. He finds that he has two fewer $20 bills than he does $

10 bills, three more $5 bills than $10 bills, and twice as many $1 bills as $10 bills. He has a total of $160. How many of each type of bill does Iago have?
Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0

Let x be the number of $10 bills in Iago pocket.

1. If he has twice as many $1 bills as $10 bills, then he has (2x) $1 bills.

2. He has two fewer $20 bills than he does $10 bills, then he has (x-2) $20 bills.

3. He has three more $5 bills than $10 bills, then he has (x+3) $5 bills.

In total he has $160 that is x·10+2x·1+(x-2)·20+(x+3)·5.

Equate these two expressions and solve the equation:

x\cdot 10+2x\cdot 1+(x-2)\cdot 20+(x+3)\cdot 5=160,\\ \\10x+2x+20x-40+5x+15=160,\\ \\37x=160+25,\\ \\37x=185,\\ \\x=5.

Thus, he has

  • 5 bills for $10;
  • 10 bills for $1;
  • 3 bills for $20;
  • 8 bills for $5.
You might be interested in
S is inversely proportional to t<br> When s = 0.5, t = 7<br> Work out s when t = 0.8
defon

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

s\propto \dfrac{1}{t}

s=\dfrac{k}{t}       ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

0.5=\dfrac{k}{7}

0.5\times 7=k

3.5=k

Putting k=3.5 in (i), we get

s=\dfrac{3.5}{t}

This is the equation of proportionality.

Putting t=0.8, we get

s=\dfrac{3.5}{0.8}

s=4.375&#10;

Therefore, the value of s is 4.375 when t=0.8.

5 0
3 years ago
Neeeeeddd helllppppp
yanalaym [24]

Answer:

c. 2+2 is 4 - 1 thats 3 quick mafs

6 0
3 years ago
Jessica is walking home from a friend's house. After two minutes she is 1.8 miles from home. Twelve minutes after leaving, she i
yKpoI14uk [10]
I believe Jessica’s rate in miles per hour is 0.9.
4 0
4 years ago
(AKS 24): The weights of a certain brand of pasta follow an approximately normal
maria [59]

Answer:

the answer is A.

just took the test e2020

Step-by-step explanation:

8 0
3 years ago
Need help ASAP <br><br> HELP PLEASEE
Leokris [45]
A. Categorical
b. I think walking group (I’m not sure)
c. Bar graph
6 0
3 years ago
Other questions:
  • 1) (−12) + 7 what is the answer to this problem
    14·2 answers
  • Use the following information to complete parts I, II and III.
    7·1 answer
  • You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4
    6·1 answer
  • Need help on 4-7 plz
    7·1 answer
  • If each person drink 8 ounces of cranberry juice how much cranberry juice is needed
    11·1 answer
  • Can someone answer this question please?
    15·1 answer
  • Which fraction is equal to 3/6<br> HELP!
    7·1 answer
  • Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6
    15·1 answer
  • Anyone got any idea ?
    14·1 answer
  • Y=x+3 <br> 2x+y=-6<br> Find the solution :
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!