Answer:
The number of beads Emery uses to calculate how many 4 necklaces and 7 bracelets are 152 beads.
Step-by-step explanation:
This is a simultaneous equation.
let's make n the number of necklaces, and b the number of bracelets.
8n + 3b = 172. 1st equation
1n + 5b = 77. 2nd equation.
you have to make one of the Bs or the Ns the same.
I chose B. it doesn't matter which side you choose.
40n + 15b =860. I multiplied by 5
3n + 15b =231. I multiplied by 3
then you subtract. because the signs are the same.
40n - 3n = 37n, 15n - 15n = 0, 860 - 231 = 629
37n =629. we divide both sides by 37
n = 17. one necklace has a total of 17 beads.
we substitute to find the number of bracelets (b).
choose any of the 1st or 2nd equations.
1n + 5b = 77
(17) + 5b = 77
5b = 77- 17
5b = 60
b = 12. one bracelet has a total of 12 beads.
NOW: find how many beads Emery uses to calculate how many 4 necklaces and 7 bracelets.
equation: 4n + 7b = ?
4(17) + 7(12) = 152
which means there are 152 beads.
YOU SHOULD BE GRATEFUL. :D
