13% of 6242 + 51% of 632 = x% of 2500. Find "x"

Calculate 13% of 6242: Calculate 13% of 6242. To find 13% of 6242, we multiply 6242 by 0.13. Calculation: 0.13 * 6242 = 811.46Calculate 51% of 632: Calculate 51% of 632. To find 51% of 632, we multiply 632 by 0.51. Calculation: 0.51 * 632 = 322.32Add results from Step 1 and Step 2: Add the results from Step 1 and Step 2. We add 811.46 and 322.32 to find the total of the left side of the equation. Calculation: 811.46 + 322.32 = 1133.78Set up equation with total from Step 3: Set up the equation with the total from Step 3 equal to x% of 2500. We have the equation 1133.78 = x% * 2500. To find x%, we need to divide 1133.78 by 2500.Calculate x%: Calculate x%. To find x%, we divide 1133.78 by 2500 and then multiply by 100 to convert the decimal to a percentage. Calculation: (1133.78 / 2500) * 100 = 45.3512

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Math Problems

Grade 6

Percents of numbers: fractional and decimal percents

Full solution

13\%

6242

51\%

632

x\%

2500

\newline

Find

x

Calculate $13$ % of $6242$ : Calculate $13\%$ of $6242$ . $\newline$ To find $13\%$ of $6242$ , we multiply $6242$ by $0.13$ . $\newline$ Calculation: $0.13 \times 6242 = 811.46$
Calculate $51$ % of $632$ : Calculate $51\%$ of $632$ . $\newline$ To find $51\%$ of $632$ , we multiply $632$ by $0.51$ . $\newline$ Calculation: $0.51 \times 632 = 322.32$
Add results from Step $1$ and Step $2$ : Add the results from Step $1$ and Step $2$ . $\newline$ We add $811.46$ and $322.32$ to find the total of the left side of the equation. $\newline$ Calculation: $811.46 + 322.32 = 1133.78$
Set up equation with total from Step $3$ : Set up the equation with the total from Step $3$ equal to $x\%$ of $2500$ . We have the equation $1133.78 = x\% \times 2500$ . To find $x\%$ , we need to divide $1133.78$ by $2500$ .
Calculate $x\%$ : Calculate $x\%$ . $\newline$ To find $x\%$ , we divide $1133.78$ by $2500$ and then multiply by $100$ to convert the decimal to a percentage. $\newline$ Calculation: $(1133.78 / 2500) * 100 = 45.3512$