Question

Priya has 3 times as many beads as Kate. How many beads do the three girls
Siti and Kate have 3049 beads altogether. Priya and Siti have 3647 beads in all.
have in total?
3647
Siti
Priya
Siti
Kate
What should we
find first? Why?
3049
2 units = 3647 - 3049
= 598
1 unit​

Answer 1

Answer:

Priya has 897 beads

Kate has 299 beads

Siti has 2750 beads

Three of them collectively have 3946 beads.

Step-by-step explanation:

Let's assume Kate has x beads.

∴ Priya has 3x beads.

∵ Siti and Kate have 3049 beads collectively.

∴ Siti has (3049 - x) beads.

Now, Priya and Siti have (3x + 3049 - x) beads = 2x + 3049 beads, which is given as 3647 beads.

∴ 2x + 3049 = 3647

=> 2x = 3647 - 3049 = 598

∴ x = $\frac{598}{2}$ = 299.

∴ Kate has 299 beads

Priya has 3 x 299 = 897 beads

And Siti has (3049 - 299) = 2750 beads

Total number of beads three of them have collectively = (299 + 897 + 2750) = 3946 beads.