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
motikmotik
1 year ago
13

Congratulations! You just won the lottery and plan to buy a bunch of cars and motorcycles for all your friends. You purchase 50

new vehicles in total. Altogether, the vehicles you purchase have a total of 164 wheels. How many of each vehicle did you purchase?
Mathematics
1 answer:
Sedaia [141]1 year ago
8 0

Step 1

Let n represent car and m represent motorcycles.

n + m = 50 ...................1

car has four wheels and motorcycle has two wheels

4n + 2m = 164 .............................. 2

Step 2

Solve equation 1 and 2 simultaneously.

from (1), make n subject of relation and substitute in equation 2.

n = 50 - m

Step 3

Substitute n in equation 2

4(50 - m) + 2m = 164

200 - 4m + 2m = 164

collect like terms

200 - 164 = 4m - 2m

36 = 2m

m = 36/2

m = 18

next find n

n = 50 - m

n = 50 - 18

n = 32

There are 32 cars and 18 motorcycles.

You might be interested in
1. Which inequality could describe the data set shown below ? { 200,300,400,500} x = 200 x > 200
Sliva [168]

Answer:

X>1

Step-by-step explanation:

5 0
3 years ago
The fourth and fifth grade classes at James Madison Elementary School are going on a field trip. There are 87 students in fourth
Anna11 [10]

Answer:

about 7

Step-by-step explanation:

6 0
3 years ago
Use the given x and y values to write a direct variation<br> equation.<br> x = 5, y = 25
Anuta_ua [19.1K]

Answer:

k= 1/5

Step-by-step explanation:

x is proportional to y

x = ky (k is const.)

k = x/y

k= 5/25

k = 1/5

7 0
3 years ago
Read 2 more answers
Help me ASAP plsssssssssssssssss
olchik [2.2K]

Answer:

4 and 9 hundreths

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Malcolm planted two trees in his yard. One tree is 50 inches tall and grows
Evgen [1.6K]
First make an equation for first tree
Y=2x+50
Then second tree
Y=1x+59
Then put them equal to eachother
2x+50=1x+59
Solve by subtracting 1x and then subtracting 50
Answer= x=9
9 months
3 0
3 years ago
Other questions:
  • ) If the half-life of 238Pu is 87.7 yr, write a function of the form =QtQ0e−kt to model the quantity Qt of 238Pu left after t ye
    13·1 answer
  • Find the fifth term in the sequence
    9·1 answer
  • What is the standard form of the equation for this circle?
    6·1 answer
  • What is the probability of flipping a coin 4 times and it landing heads every time?
    10·1 answer
  • Simplify.<br><br> 52+20<br><br><br><br><br> 5<br><br> 30<br><br> 45<br><br> 72
    8·2 answers
  • Help. answer is not D
    11·1 answer
  • Which sum is rational<br><br> A.<br> B.<br> C.<br> D.
    6·1 answer
  • Find the first four terms of the arithmetic sequence when a1 = 3 and d = 2.
    15·1 answer
  • Please help will give brainliest
    6·1 answer
  • Can someone please answer this and EXPLAIN how to solve it? ill mark brainliest.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!