Final answer:
Eliza has used 32 pink beads for her seed bead necklace that follows a pattern of 2 pink beads for every 7 black beads with a total of 112 black beads.
Step-by-step explanation:
Eliza is making a seed bead necklace and has a pattern of using 2 pink beads for every 7 black beads. If her necklace contains 112 black beads, we can figure out how many pink beads she has used by setting up a ratio. The ratio of pink to black beads is 2:7, so we can write the equation 2/7 = P/112 where P represents the number of pink beads.
To solve for P, we cross-multiply and get 2 * 112 = 7 * P. Calculation gives us 224 = 7P, and dividing both sides of the equation by 7 to solve for P, we get P = 32.
Therefore, Eliza used 32 pink beads on the necklace.
To determine the number of pink beads on the necklace, we need to use the given information that for every 2 pink beads, Eliza uses 7 black beads. Since the necklace has 112 black beads, we can set up a proportion to find the number of pink beads:
2 pink beads / 7 black beads = x pink beads / 112 black beads
To solve this proportion, we can cross-multiply and solve for x:
2 * 112 = 7 * x
224 = 7x
x = 224 / 7
x = 32
Therefore, there are 32 pink beads on the necklace.