Final answer:
A. Krista has a total of 326 beads. B. Maddy can fill 1 pail and 1 glass with her beads. C. Nia cannot fit all of her 110 beads in 10 glasses.
Step-by-step explanation:
A. Total number of beads Krista has:
Krista has 3 pails full of beads, with each pail containing 100 beads. She also has 2 glasses full of beads, with each glass containing 10 beads. In addition, she has 6 other beads. To find the total number of beads Krista has, we add the number of beads in the pails, glasses, and the 6 other beads: 3 pails * 100 beads/pail + 2 glasses * 10 beads/glass + 6 beads = 300 beads + 20 beads + 6 beads = 326 beads.
B. Fewest number of pails and glasses Maddy can fill:
Maddy's beads fill 12 glasses. To find the fewest number of pails and glasses that Maddy can fill, we need to calculate the total number of beads she has. From the given information, we know that 100 beads fit in a pail and 10 beads fit in a glass. If Maddy's beads fill 12 glasses, they would also fill 12 * 10 = 120 beads. Therefore, Maddy can fill 1 pail (100 beads) and 1 glass (10 beads) with her beads.
C. Can Nia fit all of her 110 beads in 10 glasses?
No, Nia cannot fit all of her 110 beads in 10 glasses. Each glass can hold 10 beads, so the maximum number of beads that can be fit into 10 glasses is 10 * 10 = 100 beads. Therefore, Nia would need more glasses to fit all of her 110 beads.
Krista has 326 beads in total. Maddy can fill 1 pail and 2 glasses with her 120 beads. Nia cannot fit all her 110 beads into 10 glasses as she has 10 beads too many.
Answer to Question A
Krista has 3 pails and 2 glasses full of beads, plus an additional 6 beads. Each pail holds 100 beads, and each glass holds 10 beads. By multiplying the number of containers by the number of beads they can hold, we find that she has (3 pails × 100 beads per pail) + (2 glasses × 10 beads per glass) + 6 additional beads. Therefore, Krista has 300 + 20 + 6 = 326 beads.
Answer to Question B
Maddy's beads fill 12 glasses. Since each glass holds 10 beads, she has 12 × 10 = 120 beads. To find the fewest number of pails and glasses, we need to fill the largest containers first, which are the pails. Each pail can hold 100 beads, so she can fill 1 pail and have 20 beads left, which will fit in 2 glasses. Therefore, Maddy can fill 1 pail and 2 glasses with her beads.
Answer to Question C
Nia has 110 beads and 10 glasses. Since each glass can fit 10 beads, 10 glasses can fit a total of 10 × 10 = 100 beads. Because Nia has 110 beads, she cannot fit all of her beads into the 10 glasses, as she has 10 beads too many.