Answer to Question #280938 in Algebra for Arvin Shopon

Question

(a) Rowanberries contain 6,2% sugar. Nine-tenths of the rest of the material is water. The container contains 500 g of rowanberries. How many grams of water do the berries in the container contain? 

b) Up to 32.7% of the fox's hair may be on the fox's tail. If the fox's tail has a total of 15,400 hairs, how many hairs are there elsewhere in the fox's turkey? 

c) A small entrepreneur sells the jewelry he or she makes at a price of 12 euros per piece, which means that the average sales are 340 pieces per month. He will lower the price of jewelery by 11%, increasing his monthly jewelery sales by 5%. What percentage of an entrepreneur’s income will change? 

Answer 1

(a)

$$(1-0.062)\cdot0.9\cdot500\ g=422.1\ g$$

The berries in the container contain 422.1 grams of water.

(b)

$$\dfrac{100-32.7}{32.7}\cdot15400\approx31695$$

(c)

$$12(340)=4080 (euros)$$

$$12(1-0.11)(340)(1+0.05)=3812.76(euros)$$

$$100\%(\dfrac{4080-3812.76}{4080})=6.55\%$$

Entrepreneur’s income will decrease by $6.55\%.$