1) The sum of two numbers is 30. One number is 5 times the other. Find the numbers.
2) Diane has $1.95 in dimes and nickels. She has a total of 25 coins. How many of each kind does she have?
3) Suppose Tom has 21 coins totaling $3.45. If he has only dimes and quarters, how many of each type does he have?
4) The Bishop's Peak 4-H club is having its annual fundraising dinner. Adults pay $30 apiece and children pay $15 apiece. If the number of adult tickets sold is twice the number of children's tickets sold, and the total income for the dinner is $2,250, how many of each kind of ticket did the 4-H club sell?
Thanks for answering!
2) Diane has $1.95 in dimes and nickels. She has a total of 25 coins. How many of each kind does she have?
3) Suppose Tom has 21 coins totaling $3.45. If he has only dimes and quarters, how many of each type does he have?
4) The Bishop's Peak 4-H club is having its annual fundraising dinner. Adults pay $30 apiece and children pay $15 apiece. If the number of adult tickets sold is twice the number of children's tickets sold, and the total income for the dinner is $2,250, how many of each kind of ticket did the 4-H club sell?
Thanks for answering!
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1) a+b=30
a=5*b
b+5b=30
b=5
a=1
2) a*0.1+b*0.05 = 1.95
a+b=25
a=14 dimes
b= 11 nickels
3) a+b=21
a*0.25+b*0.1 = 3.45
a= 9 quarters
b= 12 dimes
4) a*30+b*15=2250
a=2*b
60*b+15b=2250
b= 30 children
a= 60 adults
a=5*b
b+5b=30
b=5
a=1
2) a*0.1+b*0.05 = 1.95
a+b=25
a=14 dimes
b= 11 nickels
3) a+b=21
a*0.25+b*0.1 = 3.45
a= 9 quarters
b= 12 dimes
4) a*30+b*15=2250
a=2*b
60*b+15b=2250
b= 30 children
a= 60 adults