All categories

2 years ago

On the weekend Sam played 4 more games than Alex did, and together they played 12 games.

Mathematics

1 answer:

Katarina [22]2 years ago

6 0

Games Played by Alex = y=8

Step-by-step explanation:

Let x = Games played by Sam

Let y = Games played by Alex

Making Equations of given statements:

Sam played 4 more games than Alex did : 4+x=y

together they played 12 games: x+y = 12

Putting value of y=4+x into the equation x+y = 12

$x+y=12\\x+(4+x)=12\\x+4+x=12\\2x=12-4\\2x=8\\x=4$

Putting value of x=4 into 4+x=y

$4+x=y\\4+4=y\\8=y$

So, Games Played by Alex =y= 8

Keywords: Algebraic Word Problems

Learn more about Algebraic Word Problems at:

#learnwithBrainly

You might be interested in

A credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12% . The collected combined i

Natasha_Volkova [10]

Answer: the credit union loaned out $40000 at 6% and $10000 at 12%

Step-by-step explanation:

Let x represent the amount that the

credit union loaned out at the annual rate of 6%.

Let y represent the amount that the

credit union loaned out at the annual rate of 12%.

credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12%. It means that

x + y = 50000

The interest on $x after 1 year would be

6/100 × x = 0.06x

The interest on $y after 1 year would be

12/100 × y = 0.12y

The collected combined interest was $3,600 that year. It means that

0.06x + 0.12y = 3600- - - - - - - - - 1

Substituting x = 50000 - y into equation 1, it becomes

0.06(50000 - y) + 0.12y = 3600

3000 - 0.06y + 0.12y = 3600

- 0.06y + 0.12y = 3600 - 3000

0.06y = 600

y = 600/0.06

y = $10000

x = 50000 - y = 50000 - 10000

x = $40000

5 0

2 years ago

There are 12 cars contesting a race. The first three cars completing the race will be awarded prizes. In how many ways can the p

Sergio039 [100]

There would be 1,320 different ways, just multiply all the possible front runners 12 second runners 11 and third runners 10, 12x11x10=1,320

5 0

2 years ago

In a recent snail race, a snail traveled a distance of 1 1/6 inches in 2 minutes. Find the number if inches traveled per minute

Alecsey [184]

Answer:

For inch/min =0.9167 inch/min

For min/inch = 1.0908 min/inch

Step-by-step explanation:

The snail in the race traveled 11/6 inches in 2 minutes.

The number of inches per minute is equal to = (11/6)/(2)

= 11/12

=0.9167 inch/min

The number of minutes per inch is equal to = 1/(inch per min)

= 1/0.9167

= 1.0908 min/inch

Minutes per inch is gotten by taking the inverse of inch/min or dividing the number of minutes by number of inches

6 0

2 years ago

The following set is bimodal. PLZ ANSWER ASAP

polet [3.4K]

Im srry but in my calculations thinking this following statement might be true thats what i say so my answer is(true)
.

8 0

3 years ago

Read 2 more answers

Carlos is using the distributive property to evaluate the expression 14 (49) by using friendlier numbers. His work is shown belo

Natasha2012 [34]

Separating 49 into 40+9

7 0

3 years ago

Read 2 more answers