Can somebody help me, please? I need help!
2 answers:
You might be interested in
Number of bracelets made is 4 and number of necklace made is 8
<em><u>Solution:</u></em>
Let "b" be the number of bracelets made
Let "n" be the number of necklace made
amount of gold in 1 bracelet = 6 grams
amount of gold in 1 necklace = 18 grams
<u><em>Given that he made 4 more necklaces than bracelets</em></u>
number of necklace made = 4 + number of bracelets made
n = 4 + b -------- eqn 1
<em><u>The jeweler used 168 grams of gold</u></em>
Therefore, we can frame a equation as:
number of bracelets made x amount of gold in 1 bracelet + number of necklace made x amount of gold in 1 necklace = 168
6b + 18n = 168 ---------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Substitute eqn 1 in eqn 2
6b + 18(4 + b) = 168
6b + 72 + 18b = 168
24b = 168 - 72
24b = 96
b = 4
From eqn 1,
n = 4 + b
n = 4 + 4
n = 8
Thus number of bracelets made is 4 and number of necklace made is 8