Please help me figure out 15-19 word problems as soon as possible! I want to che

Question

Please help me figure out 15-19 word problems as soon as possible! I want to check my answers before it's due in a hour. Thank you!

Solve. 15) One number is 1 less than a second number. Twice the second number is 12 less than 3 times the first. Find the two numbers A) 14 and 15 B) 13 and 14 C) -15 and -14 D) 15 and 16 16) One number is 3 less than a second number. Twice the second number is 12 more than 3 times the first. Find the two numbers. A) 3 and 6 B) -6 and-3 C) -5 and-2 D) -7 and -4 17) A vendor sells hot dogs and bags of potato chips. A customer buys 5 hot dogs and 2 bags of potato chips for $11.50. Another customer buys 3 hot dogs and 5 bags of potato chips for $9.75. Find the cost of each item A) $2.25 for a hot dog; $1.00 for a bag of potato chips B) $2.00 for a hot dog; $1.00 for a bag of potato chips C) $2.00 for a hot dog; $0.75 for a bag of potato chips D) $0.75 for a hot dog; $2.00 for a bag of potato chips 18) University Theater sold 529 tickets for a play. Tickets cost $25 per adult and $15 per senior citizen. If total receipts were $9745, how many senior citizen tickets were sold? A) 271 senior citizen tickets C) 258 senior citizen tickets B) 348 senior citizen tickets D) 181 senior citizen tickets 19) A chemist needs 90 milliliters of a 20% solution but has only 4% and 40% solutions available. Find how many milliliters of each that should be mixed to get the desired solution. A) 50 ml of 4%:40 ml of 40% C) 55 ml of 4%:40 ml of 40% B) 40 ml of 496; 50 ml of 40% D) 55 ml of 4%,35 ml of 40%

Explanation / Answer

Dear Student

Thank you fr using Chegg !!

Let the bigger number be x and smaler number be y

Then as per question

x - y = 1

3x - 2y = 12

Now solving the 2 equations by method of substitution

3 (y + 1) - 2y = 12

y = 9

x = y + 1

=> x = 10

Hence the two numbers are 9 and 10.

Solution

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