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Word Problems Involving Two Linear Equations in Two Variables 2
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Result
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Solve each word problem. Choose your answer.

1. Flor withdrew ₱1780 from a bank. The bank teller gave her ₱100 bills and ₱20 bills. If the number of ₱20 bills was 5 more than twice the number of ₱100 bills, how many ₱20 bills did she receive?
34
29
24
none of the choices
Answer: 29
2. Mrs. Franco invested ₱150,000 in two separate banks. One bank gave 7% annual simple interest while the other gave 6% annual simple interest. Her total annual interest from her investments was ₱9700. How much did she invest at 7%?
₱70,000
₱75,000
₱80,000
none of the choices
Answer: ₱70,000
3. Mrs. Nieva inherited a certain amount of money. She invested part of it in a bank giving 9% annual simple interest and the rest of the amount—3 times as much—at 10%. Her annual interest from the investments was ₱17,550. How much was invested at each rate?
₱135,000 at 9% and ₱45,000 at 10%
₱55,000 at 9% and ₱165,000 at 10%
₱165,000 at 9% and ₱55,000 at 10%
none of the choices
Answer: none of the choices; ₱45,000 at 9% and ₱135,000 at 10%
4. Mildred, a pharmacist, was required to prepare 10 L of a 40% alcohol solution by mixing the following: one solution with 70% alcohol and another with 10% alcohol. How many liters of each solution did she use?
6 L of 10% alcohol solution and 4 L of 70% alcohol solution
5 L of 10% alcohol solution and 5 L of 70% alcohol solution
4 L of 10% alcohol solution and 6 L of 70% alcohol solution
none of the choices
Answer: 5 L of 10% alcohol solution and 5 L of 70% alcohol solution
5. In his chemistry experiment, James is required to mix a 30% acid solution with a 40% acid solution to obtain 25 milliliters (mL) of a 36% acid solution. How much 30% acid solution and 40% acid solution should he mix to obtain the desired mixture?
15 mL of 30% acid solution and 10 mL of 40% acid solution
12.5 mL of 30% acid solution and 12.5 mL of 40% acid solution
10 mL of 30% acid solution and 15 mL of 40% acid solution
none of the choices
Answer: 10 mL of 30% acid solution and 15 mL of 40% acid solution
6. Two cars are 300 km apart. One car travels 20 km/h faster than the other. They travel toward each other and after 2 h, the two cars meet. What is the speed of each car?
75 km/h and 75 km/h
85 km/h and 65 km/h
95 km/h and 75 km/h
none of the choices
Answer: 85 km/h and 65 km/h
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