Elizabeth has 1 7/10 as many as Rosalie has in her garden. If Elizabeth has 51 plants how many plants does Rosalie have in her garden?
Please explain step by step on how you answered this and also no links or anything please just a raw answer thanks in advance :).
1 7/10 = 17/10
"as many" suggests multiplication
e.g. bill eats 3 times as many donuts as Bob
if Bob eats 4 donuts, then Bill would eat 3*4 or 12 donuts
so Elizabeth has (17/10) as many as Rosalie.
let Rosalie's number of plants be x
then:
(17/10)x = 51 ----> notice the multiplication
How do we get x alone?
let's multiply both sides by the reciprocal.
(10/17)(17/10)x = (10/17)(51)
x = 30
Rosalie has 30 plants.
check:
Rosalie has 30 plants.
Elizabeth has 17/10 times as many
(17/10)(30) = 51
YEAHHHH
1 7/10 can be rewritten as 1.7
51 / 1.7 = 30 plants.
Rosalie has 30 plants.