QuestionIf a bag has 49 purple marbles, how many yellow marbles are there if the ratio is 5 yellow to 7 purple?

Studdy Solution

STEP 1

Assumptions1. Each bag contains5 yellow marbles for every7 purple marbles. . A bag has49 purple marbles.

STEP 2

First, we need to find the ratio of yellow marbles to purple marbles. This is given as57.
$Ratio_{yellowpurple} =57$

STEP 3

Now, we need to find out how many sets of7 purple marbles are in the bag. We can do this by dividing the total number of purple marbles by7.
$Sets_{purple} = Total_{purple} /7$

STEP 4

Plug in the given value for the total number of purple marbles to calculate the number of sets.
$Sets_{purple} =49 /7$

STEP 5

Calculate the number of sets of purple marbles.
$Sets_{purple} =49 /7 =7$

STEP 6

Now that we have the number of sets of purple marbles, we can find the total number of yellow marbles. This is done by multiplying the number of sets by the number of yellow marbles in each set.
$Total_{yellow} = Sets_{purple} \\times5$

STEP 7

Plug in the values for the number of sets of purple marbles to calculate the total number of yellow marbles.
$Total_{yellow} =7 \\times5$

STEP 8

Calculate the total number of yellow marbles.
$Total_{yellow} =7 \\times5 =35$ The bag contains35 yellow marbles.

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