am is buying packages with 9 beads each. His mom bought him 63 more beads. Now, he has 153 beads. How many packages did he buy? Use algebra to determine the answer.(1 point)

Answer 1

Let's say am bought x packages. Each package has 9 beads, so he initially had 9x beads.
His mom then bought him 63 more beads, so now he has 9x + 63 beads.
It is also given that he now has 153 beads, so we have the equation 9x + 63 = 153.
To determine the number of packages he bought, we need to solve this equation for x.
Subtracting 63 from both sides of the equation, we have 9x = 153 - 63 = 90.
Dividing both sides of the equation by 9, we find that x = 10.
Therefore, am bought 10 packages.

Answer 2

One- & Two-Step Equations Unit Test
15 of 15 15 of 15 Items

Question
Triana is on a 120-mile four-day bike ride. On the first day she travels 24 miles. She would like to travel equal amounts over the remaining three days. How far will she travel on each of those three days? Write and solve an equation of the form px+q=r . Then write a sentence to explain your answer.

Answer 3

Let the distance Triana travels on each of the remaining three days be represented by x miles.

We know that Triana traveled 24 miles on the first day, so the total distance she will travel over the four-day bike ride can be represented by the equation:

24 + 3x = 120

To find the distance Triana will travel on each of the three remaining days, we need to solve this equation for x.

Subtracting 24 from both sides of the equation, we have:

3x = 120 - 24

Simplifying the right side of the equation, we get:

3x = 96

Now, dividing both sides of the equation by 3, we find:

x = 96/3

Simplifying the right side of the equation, we get:

x = 32

Therefore, Triana will travel 32 miles on each of the three remaining days.

In summary, Triana will travel 32 miles on each of the three remaining days of her bike ride.