Sam 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,
Let's assume that Sam bought x packages.
Each package has 9 beads, so the number of beads in the packages is 9x.
Sam's mom bought him 63 more beads, so now he has 9x + 63 beads.
We know that Sam now has 153 beads, so we can set up the equation:
9x + 63 = 153
Subtracting 63 from both sides of the equation, we get:
9x = 90
Dividing both sides of the equation by 9, we get:
x = 10
Therefore, Sam bought 10 packages of beads.
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. (4 points)
Let's assume that Triana travels x miles on each of the remaining three days.
On the first day, she travels 24 miles. Therefore, on the remaining three days, she would travel a total of 3 * x = 3x miles.
The total distance covered over the four days is 120 miles. So, we can set up the equation:
24 + 3x = 120
Subtracting 24 from both sides of the equation, we get:
3x = 120 - 24
3x = 96
Dividing both sides of the equation by 3, we get:
x = 32
Therefore, Triana will travel 32 miles on each of the remaining three days.
Answer: Triana will travel 32 miles on each of the three remaining days.