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What are Three equivalent ratios for each ratio 1.5 to 3.5?
5.6 , 6.5
How do you do this There are 123 chocolates in a box They are either plain milk or white The ratio of plain to milk is 2 to 3 The ratio of milk to white is 7 to 2 Find the number of plain chocolates?
As "milk" appears in both ratios you need to create equivalent ratios with the same value of "milk" in each; then you can combine the two ratios in to one ratio for all three and use that ratio to solve the problem.Equivalent ratios are like equivalent factions: whatever you multiply/divide one side of the ratio by, you must multiply/divide the other side by the same amount and you will have an equivalent ratio - this is how ratios are simplified.The first ratio plain : milk = 2 : 3The second ratio milk : white = 7 : 2To avoid fractions, use the lcm of the value of the "milk" in both ratios: ie the lcm(3, 7) = 21 as the value of "milk" in the equivalent ratios - divide the lcm by the current value to find what number you need to multiply the ratio by:The first ratio can be multiplied by 21 ÷ 3 = 7 to give:plain : milk = 2 : 3 = 2×7 : 3×7 = 14 : 21The second ratio can be multiplied by 21 ÷ 7 = 3 to give:milk : white = 7 : 2 = 7×3 : 2×3 = 21 : 6The two ratios can now be combined in a single ratio with three terms as the "milk" is 21 in each case, forming:plain : milk : white = 14 : 21 : 6From this we can find how many of each type of chocolate there are, and in particular how many plain ones there are:There are 14 + 21 + 6 = 41 parts→ each part is worth 123 chocs ÷ 41 parts = 3 chocs per part→ There are 14 parts × 3 chocs per part plain = 42 plain chocolates-------------------------------------------------------------------To check we can also work out the quantity of the other two types of chocolates:& There are 21 parts × 3 chocs per part milk = 63 milk& There are 6 parts × 3 chocs per part white = 18 whiteThis gives a total box of 42 plain + 63 milk + 18 white = 123 chocolatesAnd recalculate the ratios, simplifying them:Ratio of plain : milk = 42 : 63 = 2×21 : 3×32 = 2 : 3Ratio of milk : white = 63 : 18 = 7×9 : 2×9 = 7 : 2
What makes 2 fractions equivalent to each other?
Two fractions are equivalent if they can be reduced to the same number. For example, 2/3 and 4/6 are equivalent because 4/6 will reduce to 2/3.
Find the value of 3p plus 4 equals -14?
We're guessing that what you really want to know is the value of 'p'that makes the statement true. Here's how to find it:3p + 4 = -14Subtract 4 from each side:3p = -18Divide each side by 3:p = -6
How many fives are equal in value to 15 twos?
To determine how many fives are equal in value to 15 twos, you need to compare the ratios of fives to twos. Since each five is worth 5 units and each two is worth 2 units, you can set up the equation 5x = 15(2), where x represents the number of fives. By solving for x, you find that x = 6. Therefore, 6 fives are equal in value to 15 twos.
