a toy gun cost 10 pesos more than a doll. the total cost of 3 such toy guns and 4 such dolls was 163 pesos. find the average cost of a toy gun.
g = d + 10 ... d = g - 10
3 g + 4 d = 163
substituting ... 3 g + 4(g - 10) = 163 ... 3 g + 4 g - 40 = 163
To find the average cost of a toy gun, we first need to determine the individual cost of a toy gun and a doll.
Let's assume the cost of a doll is x pesos.
According to the given information, a toy gun costs 10 pesos more than a doll. Therefore, the cost of a toy gun would be (x + 10) pesos.
The total cost of 3 toy guns and 4 dolls is given as 163 pesos. We can set up the equation based on this information:
3(x + 10) + 4x = 163
Simplifying the equation:
3x + 30 + 4x = 163
7x + 30 = 163
7x = 133
x = 19
The cost of a doll is 19 pesos, and the cost of a toy gun is (x + 10) = 19 + 10 = 29 pesos.
Now, to find the average cost of a toy gun, we calculate the sum of the cost of 3 toy guns:
3 * 29 = 87
Finally, we divide the sum by the number of toy guns:
87 / 3 = 29
Therefore, the average cost of a toy gun is 29 pesos.