Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

3x+2y >= 24
Erica's goal is to score at least 24 points in her next playground basketball game. The given inequality represents this goal, where
x is the number of 3 -point field goals she scores and
y is the number of 2 -point field goals she scores. If she scores 53 -point field goals, what is the minimum number of 2-point field goals she must score to meet her scoring goal?

$3 x+2 y \geq 24$ $\newline$ Erica's goal is to score at least $24$ points in her next playground basketball game. The given inequality represents this goal, where $x$ is the number of $3$ -point field goals she scores and $y$ is the number of $2$ -point field goals she scores. If she scores $53$ -point field goals, what is the minimum number of $2$ -point field goals she must score to meet her scoring goal?

View step-by-step help

View step-by-step help

GCF and LCM: word problems

Full solution

Q.

3 x+2 y \geq 24

\newline

Erica's goal is to score at least

24

points in her next playground basketball game. The given inequality represents this goal, where

x

is the number of

3

-point field goals she scores and

y

is the number of

2

-point field goals she scores. If she scores

53

-point field goals, what is the minimum number of

2

-point field goals she must score to meet her scoring goal?

Substitute $x$ into inequality: Substitute the value of $x$ into the inequality. $\newline$ Erica scores $5$ $3$ -point field goals, so $x = 5$ . We substitute this value into the inequality $3x + 2y \geq 24$ . $\newline$ $3(5) + 2y \geq 24$ $\newline$ $15 + 2y \geq 24$
Solve for y: Solve for y. $\newline$ To find the minimum number of $2$ -point field goals $y$ , we need to isolate $y$ on one side of the inequality. $\newline$ $15 + 2y \geq 24$ $\newline$ $2y \geq 24 - 15$ $\newline$ $2y \geq 9$
Divide both sides by $2$ : Divide both sides by $2$ to find the value of y. $\newline$ $\frac{2y}{2} \geq \frac{9}{2}$ $\newline$ $y \geq 4.5$
Round up to nearest whole number: Since Erica cannot score half a field goal, we round up to the nearest whole number. $\newline$ Erica must score at least $5$ $2$ -point field goals to meet her scoring goal.

More problems from GCF and LCM: word problems

Question

The Huffman Corporation would like to donate

15

20

printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The Huffman Corporation can donate to?

\newline

\_\_\_\_

Posted 2 months ago

Question

What is the greatest common factor of

2

14

\newline

Posted 2 months ago

Question

What is the least common multiple of

6

12

\newline

Posted 2 months ago

Question

Which numbers are factors of

20

? Select all that apply.

\newline

17

\newline

5

\newline

9

\newline

7

Posted 25 days ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmas lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 2 months ago

Question

What is the greatest common factor of

35 y^{4}, 14 y^{4}

63 y^{4}

Posted 4 months ago

Question

What is the greatest common factor of

60 \mathrm{w}, 36 w^{2}

24 w^{4}

Posted 1 month ago

Question

Find the greatest common factor of

75

8

21

Posted 4 months ago

Question

Find the greatest common factor of

110

40

120

Posted 4 months ago

Question

What is the greatest common factor of

6 a, 8 a^{2}

14

Posted 4 months ago