Question

5 lors du salon des métiers d’art, luis et maryse ont vendu divers bijoux. répartition du nombre de bijoux vendus colliers 0,15 bagues 130 bracelets boucles d’oreilles 35% prix de vente des bijoux bijoux prix à l’unité bague 5,20$ boucles d’oreilles 7,75$ bracelet 12,00$ collier 21,50$ a) détermine le nombre total de bijoux vendus. b) trouve le montant total des ventes.

Explanation:

Step1: Calculate the percentage of rings

The sum of all percentages should be \(100\%\). Let the percentage of bracelets be \(x\). We know that \(15\%+35\% + x+\frac{90}{360}\times100\%=100\%\). Since \(\frac{90}{360}\times100\% = 25\%\), then \(x=100-(15 + 35+25)=25\%\). The number of rings is \(130\), and let the total number of jewels be \(N\). The percentage of rings is \(25\%\), so \(N=\frac{130}{25\%}\).

$$N=\frac{130}{0.25}=520$$

Step2: Calculate the number of each type of jewel

• Number of rings: \(130\)
• Number of earrings: \(520\times35\%=520\times0.35 = 182\)
• Number of necklaces: \(520\times15\%=520\times0.15 = 78\)
• Number of bracelets: \(520\times25\%=520\times0.25=130\)

Step3: Calculate the total sales amount

The total sales amount \(T\) is calculated by \(T=(130\times5.20)+(182\times7.75)+(130\times12)+(78\times21.50)\)

$$130\times5.20 = 676$$

$$182\times7.75=182\times(7 + 0.75)=182\times7+182\times0.75=1274+136.5 = 1410.5$$

$$130\times12=1560$$

$$78\times21.50=(80 - 2)\times21.50=80\times21.50-2\times21.50=1720 - 43=1677$$

$$T=676+1410.5+1560+1677=5323.5$$

Answer:

a) \(520\)
b) \(5323.5\) dollars