Question

Масса ювелирного изделия приготовленного из золота и жемчуга равна 3 грамма,а цена 24 динара.Стоимость 1 грамм золота-5 динаров,1 грамм жемчуга-15 динаров.Сколько грамов золота имеется в этом изделии?

Answer 1

X г - золота в изделии, у г - жемчуга в изделии.
Вес изделия = х+у=3
Цена изделия = 5х+15у=24

$\left \{ {{x+y=3|\cdot (-5)} \atop {5x+15y=24}} \right. \; \oplus \left \{ {{x+y=3} \atop {10y=9}} \right. \; \left \{ {{x=3-y} \atop {y=0,9}} \right. \; \left \{ {{x=2,1} \atop {y=0,9}} \right.$

Золота в изделии 2.1 г .

Answer 2

Calculating the Amount of Gold in the Jewelry

To calculate the amount of gold in the jewelry, we can use the given information about the total weight of the jewelry and its price, as well as the individual prices of gold and pearls.

Given: - Total Weight of Jewelry: 3 grams - Price of Jewelry: 24 dinars - Price of 1 gram of Gold: 5 dinars - Price of 1 gram of Pearl: 15 dinars

We need to find the amount of gold in the jewelry.

Calculation

Let's assume the amount of gold in the jewelry is represented by x grams.

The total cost of the jewelry is 24 dinars, which can be expressed as the sum of the cost of gold and the cost of pearls: - Cost of Gold + Cost of Pearls = Total Cost of Jewelry - 5x + 15(3 - x) = 24

Solving for x: - 5x + 45 - 15x = 24 - -10x = 24 - 45 - -10x = -21 - x = -21 / -10 - x = 2.1 grams

Answer

The amount of gold in the jewelry is 2.1 grams.