1. ## word problem

Jack and Jill collect ladybugs. Jack collects only the ones with 2 spots and Jill collects only the ones with 7 spots. Jack has 5 more ladybugs than Jill. The total number of spots found on all their ladybugs is 100. How many ladybugs do Jack and Jill have in their combined collection?

2. Originally Posted by amywright00
Jack and Jill collect ladybugs. Jack collects only the ones with 2 spots and Jill collects only the ones with 7 spots. Jack has 5 more ladybugs than Jill. The total number of spots found on all their ladybugs is 100. How many ladybugs do Jack and Jill have in their combined collection?

Let x = #LB Jill collects

Let x+5 = #LB Jack collects

Let 7x = # spots on Jill's LBs

Let 2(x+5) = # spots on Jack's LBs

Let 100 = total # of spots

$7x+2(x+5)=100$

Can you finish this?

3. no I still dont understand it.

4. Originally Posted by masters
Let x = #LB Jill collects

Let x+5 = #LB Jack collects

Let 7x = # spots on Jill's LBs

Let 2(x+5) = # spots on Jack's LBs

Let 100 = total # of spots

$7x+2(x+5)=100$

Can you finish this?
Ok, here's the finish:
$7x+2x+10=100$

$9x+10=100$

$9x=90$

$x=10$

So, Jill collects 10 (7 spotted LBs)

Jack collects 10+5 = 15 (2 spotted LBs)

Together, they collect 10(7)+2(15)=100 spotted LBs