(1) Answer the following : a.During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $314. The next month, 300 units of electricity and 250 units of gas were used for a total cost of $253. Find the cost per unit of gas. b.A pharmacist has two vitamin-supplement powders. The first powder is 20% vitamin B1 and 30% vitamin B2. The second is 15% vitamin B1 and 10% vitamin B2. How many milligrams of each powder should the pharmacist use to make a mixture that contains 130 mgof vitamin B1 and 180 mg of vitamin B2?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
(1) Answer the following :
a.During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $314. The next month, 300 units of electricity and 250 units of gas were used for a total cost of $253. Find the cost per unit of gas.
b.A pharmacist has two vitamin-supplement powders. The first powder is 20% vitamin B1 and 30% vitamin B2. The second is 15% vitamin B1 and 10% vitamin B2. How many milligrams of each powder should the pharmacist use to make a mixture that contains 130 mgof vitamin B1 and 180 mg of vitamin B2?

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