Question 993429
1)Your rate per hour is a flat fee of $2 plus 0.50 per child. Let's call the number of children n:
2+0.50n= 3.50 subtract 2 from both sides
0.50n= 1.50 divide both sides by 0.50
n= 3 The Crandells have 3 kids.
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2) There are 2 numbers whose sum is 72. One number is twice the other. Let's call the smaller number x, and the problem says the other number is 2x (twice the other):
x+2x= 72 Add the x:
3x= 72 Divide both sides by 3
x= 24 is the smaller number, and the other is 2×24= 48
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3) Ryan & Steve make $14 and $12. One month Ryan worked 10 hours more than Steve. If their total income for the month was $3520, how many hours did each work.
Let's call Steve's hours x and Ryan's, the problem says, is x+10
12x+14(x+10)= 3,520 Multiply on left:
12x+14x+140= 3,520 Add x on left and subtract 140 on both sides
26x= 3,380 Now divide both sides by 26
x= 130 are the hours Steve worked. and Ryan worked 10 hours more: 130+10=140
Proof
130×12= 1560
140×14= 1960
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=======3,520 We have the correct answer